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POLYNOMIAL

Total questions: 220

Worksheet time: 13hrs 46mins

Name
Class
Date
1.

What does FOIL method of multiplication of polynomials mean?

a)

First-On-In-Last Terms

b)

Final-Outer-Inner-Last Terms

c)

First-Outer-Inner-Last Terms

d)

Final-On-In-Last Terms

2.

What property of real numbers provens the equation

a(b + c) = ab + ac?

a)

Closure Property

b)

Commutative Property

c)

Associative Property

d)

Distributive Property

3.

Solve for 2(3x + 4)

a)

5x + 6

b)

6x + 8

c)

6x + 6

d)

5x + 8

4.

Solve for a (b - c + d)

a)

ab - ac - ad

b)

ab + ac - ad

c)

ab + ac + ad

d)

ab - ac + ad

5.

Solve for -5(7xy - 2)

a)

-35xy + 10

b)

-12xy - 7

c)

-35xy - 7

d)

-35xy + 10

6.

Solve for -7(a2 - 6)

a)

-7a2 + 13

b)

-7a2 - 13

c)

-7a2 + 42

d)

7a2 - 42

7.

What is (a + b)(c + d)?

a)

ab + cd + ac + bd

b)

ac + ad + bc + bd

c)

ab + ac + ad

d)

ab + bc + cd

8.

Solve for (3x + 5)(x - 9)

a)

3x2 - 22x - 45

b)

3x2 - 45x - 4

c)

3x2 +5x - 9

d)

3x2 - 27x - 45

9.

What is the value of (5x - 1)(3x - 1) ?

a)

15x2 + 8x + 1

b)

15x2 - 8x + 1

c)

15x2 - 2x + 1

d)

15x2 - 3x + 1

10.

Perform (7x + 4)(4x - 7) using any method

a)

28x - 28

b)

28x2 + 16x - 28

c)

28x2 + 8x - 11

d)

28x2 - 33x - 28

11.

What is a mathematical expression with variables raised to whole number exponents?

Whole Numbers = {0, 1, 2, 3, ...}

a)

Polynomial

b)

Equation

c)

Fraction

d)

Whole

12.
How many terms are in the following polynomial?
3xy - 2y + 8x - 7z -16
a)
A
1
b)
B
2
c)
C
4
d)
D
5
13.
A polynomial that has two terms is a:
a)
polynomial
b)
monomial
c)
binomial
14.

When you multiply polynomials, what do you do with the exponents?

a)

Add them

b)

Multiply them

c)

Nothing

15.
Which polynomial is written in standard form?
a)
-3x + 8x2 + 9x3 - 11
b)
9x3 + 8x- 3x - 11
c)
8x+ 9x3 -11 - 3x
d)
-11 - 3x + 8x2 + 9x3
16.

Multiply: 6a34a66a^3\cdot4a^6  

a)

24a1024a^{10}  

b)

24a924a^9  

c)

10a910a^9  

d)

24a9-24a^9  

17.

Find the product:

5a(a2 + 3a - 4 )

a)

5a2 + 15a - 20

b)

5a3 - 15a2 + 20a

c)

5a3 + 15a2 - 20a

d)

5a2 - 15a + 20

18.

What is a mathematical expression with variables raised to whole number exponents?

Whole Numbers = {0, 1, 2, 3, ...}

a)

Polynomial

b)

Equation

c)

Fraction

d)

Whole

19.
How many terms are in the following polynomial?
3xy - 2y + 8x - 7z -16
a)
A
1
b)
B
2
c)
C
4
d)
D
5
20.
A polynomial that has two terms is a:
a)
polynomial
b)
monomial
c)
binomial
21.

When you multiply polynomials, what do you do with the exponents?

a)

Add them

b)

Multiply them

c)

Nothing

22.
Which polynomial is written in standard form?
a)
-3x + 8x2 + 9x3 - 11
b)
9x3 + 8x- 3x - 11
c)
8x+ 9x3 -11 - 3x
d)
-11 - 3x + 8x2 + 9x3
23.

Multiply: 6a34a66a^3\cdot4a^6  

a)

24a1024a^{10}  

b)

24a924a^9  

c)

10a910a^9  

d)

24a9-24a^9  

24.

Find the product:

5a(a2 + 3a - 4 )

a)

5a2 + 15a - 20

b)

5a3 - 15a2 + 20a

c)

5a3 + 15a2 - 20a

d)

5a2 - 15a + 20

25.

6v(2v + 3)

a)

12v+18

b)

12v2 + 18v

c)

15v2 + 8v

d)

12v2 + 18v2

26.

2x ( -2x -3)

a)

-4x - 3

b)

x2 - 3

c)

-4x2 - 6x

d)

-4x - 6

27.

(4x - 1)(5x−2)

a)

20x2 + 3x − 2

b)

20x2 − 11x + 5

c)

20x2 − 13x + 2

d)

20x2 − 3x − 2

28.

(4x+1)(5x−2)

a)

20x2 + 3x − 2

b)

20x2 − 11x + 5

c)

20x2 − 18x + 2

d)

20x2 − 3x − 2

29.
Simplify: (x + 3) (x + 2)
a)
x2 + 6x + 5
b)
x2 + 5
c)
x2 + 11
d)
x2 + 5x + 6
30.
3x (2 + x)
a)
- 6x - 3x2
b)
- 6x + 3x2
c)
6x - 3x2
d)
6x + 3x2
31.
Simplify: (2x + y)(2x - y)
a)
4x2 - y2
b)
4x - y
c)
4x2 + y2
d)
2x2 - y2
32.
Simplify: (2a - 3) (3a + 1)
a)
6a+ 7a - 3
b)
6a+ 5a - 3
c)
6a2 - 7a - 3
d)
6a2 - 9a + 3
33.
Simplify: (x + 3) (x + 2)
a)
x2 + 6x + 5
b)
x2 + 5
c)
x2 + 11
d)
x2 + 5x + 6
34.
Simplify: (x - 5) (x - 3)
a)
x2 + 8x + 15
b)
x2 - 2x - 15
c)
x2 - 8x + 15
d)
x2 - 2x + 15
35.

Multiply these monomials.

-12x4 ⋅ 11x

a)

132x4

b)

-132x4

c)

132x5

d)

-132x5

36.

Find the product using

the distributive property.

-8x ( 4x2 - 9x + 12)

a)

-32x2 - 72x + 96

b)

-32x3 - 72x2 - 96x

c)

-32x3 + 72x2 - 96

d)

-32x3 + 72x2 - 96x

37.

Which of the following is equivalent to 23?

a)

4

b)

6

c)

8

d)

12

38.

Is (2x)(3x) equivalent to 5x?

a)

Yes!

b)

No, it is equivalent to 5x2

c)

No, it is equivalent to 6x2

39.

8 can be computed by multiplying 4 by itself two times. True or False?

(a)  

40.

(x+2)(x+3) = _____?

a)

x2+5x+6

b)

x2+2x+5

c)

2x+5

d)

x2+6

41.

Solve for 2(3x + 4)

a)

5x + 6

b)

6x + 8

c)

6x + 6

d)

5x + 8

42.

Solve for a (b - c + d)

a)

ab - ac - ad

b)

ab + ac - ad

c)

ab + ac + ad

d)

ab - ac + ad

43.

Solve for -5(7xy - 2)

a)

-35xy + 10

b)

-12xy - 7

c)

-35xy - 7

d)

-35xy + 10

44.

Solve for -7(a2 - 6)

a)

-7a2 + 13

b)

-7a2 - 13

c)

-7a2 + 42

d)

7a2 - 42

45.

What is (a + b)(c + d)?

a)

ab + cd + ac + bd

b)

ac + ad + bc + bd

c)

ab + ac + ad

d)

ab + bc + cd

46.

Solve for (3x + 5)(x - 9)

a)

3x2 - 22x - 45

b)

3x2 - 45x - 4

c)

3x2 +5x - 9

d)

3x2 - 27x - 45

47.

What is the value of (5x - 1)(3x - 1) ?

a)

15x2 + 8x + 1

b)

15x2 - 8x + 1

c)

15x2 - 2x + 1

d)

15x2 - 3x + 1

48.
a)
x - 7
b)
x- 7
c)
x + 7
d)
x+ 3x - 54
49.
Divide using synthetic division 
(2x³ + 4x² - 5) by (x + 3).
a)
2x² + 2x - 4  R(-12)
b)
2x² - 2x + 6  R(-23)
c)
2x² - 2x + 8  R(-20)
d)
2x² - 4x + 1  R0
50.
a)
x + 5 + (2/2x - 4)
b)
x - 8
c)
x - 5 + (3/2x - 4)
d)
x + 5
51.
The answer to a division problem is known as the...?
a)
product
b)
sum
c)
difference
d)
quotient
52.

If you are missing a term in your polynomials (both dividend and divisor), you must put a zero as a coefficient place holder for that term.

a)

True

b)

False

c)

Only for the dividend

d)

Only for the divisor

53.
What should be the order of the polynomial coefficients if
(3x - 4x3 + 6x4 + 1) / (x + 3)
a)
3   0   -4   6   1
b)
6   -4   3   1   0
c)
6   -4   0   3   1
d)
-6   4   0   -3   -1
54.
If you were dividing x6 + 4x3 + 2, how many 0's would you need when setting up the top row of your synthetic division?
a)
0
b)
2
c)
4
d)
6
55.
What is the quotient when (10n- 37n - 12) is divided by (n - 4)?
a)
(10n - 3)
b)
(3n - 10)
c)
(10n + 3)
d)
(3n + 10)
56.

x3+6x2x30x2=\frac{x^3+6x^2-x-30}{x-2}=  

a)

x28x15x^2-8x-15  

b)

x2+8x15x^2+8x-15  

c)

x2+8x+15x^2+8x+15  

d)

x2+8x5x^2+8x-5  

57.

x3+7x26x72x+6=\frac{x^3+7x^2-6x-72}{x+6}=  

a)

x2+x+12x^2+x+12  

b)

x2+x+2x^2+x+2  

c)

x2+x2x^2+x-2  

d)

x2+x12x^2+x-12  

58.

Solve using long division. (x2+2x  63)÷(x+9)\left(x^2+2x\ -\ 63\right)\div\left(x+9\right)  

a)

x7x-7  

b)

x27x^2-7  

c)

x+7x+7  

d)

x2+3x54x^2+3x-54  

59.
a)
x + 5 + (2/2x - 4)
b)
x - 8
c)
x - 5 + (3/2x - 4)
d)
x + 5
60.

What is the quotient when 10n- 37n - 12 is divided by n - 4?

a)

10n - 3

b)

3n - 10

c)

10n + 3

d)

3n + 10

61.

x3+6x2x30x2=\frac{x^3+6x^2-x-30}{x-2}=  

a)

x28x15x^2-8x-15  

b)

x2+8x15x^2+8x-15  

c)

x2+8x+15x^2+8x+15  

d)

x2+8x5x^2+8x-5  

62.

x3+7x26x72x+6=\frac{x^3+7x^2-6x-72}{x+6}=  

a)

x2+x+12x^2+x+12  

b)

x2+x+2x^2+x+2  

c)

x2+x2x^2+x-2  

d)

x2+x12x^2+x-12  

63.

Which term must be inserted in the dividend before you begin long division?

(2x3+5x2+9)÷(x+3)\left(2x^3+5x^2+9\right)\div\left(x+3\right)  

a)

0x40x^4  

b)

0x30x^3  

c)

0x20x^2  

d)

0x0x  

64.

Solve using long division. (8x2+6x20)÷(4x5)\left(8x^2+6x-20\right)\div\left(4x-5\right)  

a)

2x42x-4  

b)

2x+42x+4  

c)

2x1164x52x-1-\frac{16}{4x-5}  

d)

2x4404x52x-4-\frac{40}{4x-5}

65.

(3x3 + 5x - 1) ÷ (x + 1)

a)

3x3 - 3x2 + 8x - 9

b)

3x23x+89x+13x^2-3x+8-\frac{9}{x+1}

c)

3x2+3x+8+7x+13x^2+3x+8+\frac{7}{x+1}

d)

3x3 + 3x2 + 8x + 7

66.

(2x3 - 5x2 + 3x + 7) ÷ (x - 2)

a)

2x3 - x2 + x + 9

b)

2x2 - x + 1

c)

2x2x+1+9x22x^2-x+1+\frac{9}{x-2}

d)

2x29x1523x22x^2-9x-15-\frac{23}{x-2}

67.

Is this division problem worked correctly?

a)

This is correct!

b)

This is incorrect, and error occurs/starts on the 2nd line!

c)

This is incorrect, and the error occurs/starts on the 4th line!

d)

This is incorrect, and the error occurs/starts on the 3rd line!

68.

Solve using long division. (x2+2x  63)÷(x+9)\left(x^2+2x\ -\ 63\right)\div\left(x+9\right)  

a)

x7x-7  

b)

x27x^2-7  

c)

x+7x+7  

d)

x2+3x54x^2+3x-54  

69.
a)
x + 5 + (2/2x - 4)
b)
x - 8
c)
x - 5 + (3/2x - 4)
d)
x + 5
70.

What is the quotient when 10n- 37n - 12 is divided by n - 4?

a)

10n - 3

b)

3n - 10

c)

10n + 3

d)

3n + 10

71.

x3+6x2x30x2=\frac{x^3+6x^2-x-30}{x-2}=  

a)

x28x15x^2-8x-15  

b)

x2+8x15x^2+8x-15  

c)

x2+8x+15x^2+8x+15  

d)

x2+8x5x^2+8x-5  

72.

x3+7x26x72x+6=\frac{x^3+7x^2-6x-72}{x+6}=  

a)

x2+x+12x^2+x+12  

b)

x2+x+2x^2+x+2  

c)

x2+x2x^2+x-2  

d)

x2+x12x^2+x-12  

73.

Which term must be inserted in the dividend before you begin long division?

(2x3+5x2+9)÷(x+3)\left(2x^3+5x^2+9\right)\div\left(x+3\right)  

a)

0x40x^4  

b)

0x30x^3  

c)

0x20x^2  

d)

0x0x  

74.

Solve using long division. (8x2+6x20)÷(4x5)\left(8x^2+6x-20\right)\div\left(4x-5\right)  

a)

2x42x-4  

b)

2x+42x+4  

c)

2x1164x52x-1-\frac{16}{4x-5}  

d)

2x4404x52x-4-\frac{40}{4x-5}

75.

(3x3 + 5x - 1) ÷ (x + 1)

a)

3x3 - 3x2 + 8x - 9

b)

3x23x+89x+13x^2-3x+8-\frac{9}{x+1}

c)

3x2+3x+8+7x+13x^2+3x+8+\frac{7}{x+1}

d)

3x3 + 3x2 + 8x + 7

76.

(2x3 - 5x2 + 3x + 7) ÷ (x - 2)

a)

2x3 - x2 + x + 9

b)

2x2 - x + 1

c)

2x2x+1+9x22x^2-x+1+\frac{9}{x-2}

d)

2x29x1523x22x^2-9x-15-\frac{23}{x-2}

77.

Is this division problem worked correctly?

a)

This is correct!

b)

This is incorrect, and error occurs/starts on the 2nd line!

c)

This is incorrect, and the error occurs/starts on the 4th line!

d)

This is incorrect, and the error occurs/starts on the 3rd line!

78.

Evaluate this expression using quotient rule  x5x2\frac{x^5}{x^2} , the result is

a)

x2x^{-2}  

b)

x2x^2  

c)

x3x^3  

d)

x3x^{-3}  

79.

According to the rule, in dividing exponents having the same base, copy the base and ________ the exponent

a)

add

b)

subtract

c)

multiply

d)

divide

80.

Simplify: 42x76x4\frac{42x^7}{6x^4}  

a)

7x37x^3  

b)

7x117x^{11}  

c)

7x37x^{-3}  

d)

7x287x^{28}  

81.

5x310x+255\frac{5x^3-10x+25}{5}  what is the answer?

a)

x2+2+5x^2+2+5  

b)

x3+2x+5x^3+2x+5  

c)

x22x+5x^2-2x+5  

d)

x32x+5x^3-2x+5  

82.

56s336s6÷4s56s^3-36s^6\div4s  


a)

14s2+9s5-14s^2+9s^5  

b)

14s29s5-14s^2-9s^5  

c)

14s2+9s514s^2+9s^5  

d)

14s29s514s^2-9s^5  

83.

The quotient of  x3+5x2+2x8x^3+5x^2+2x-8  divided by  x+2x+2                   

a)

x2+3x4x^2+3x-4  

b)

x23x4x^2-3x-4  

c)

x2+3x+4x^2+3x+4  

d)

x23x4x^2-3x-4  

84.

Divide x3+3x27x+15x^3+3x^2-7x+15   by  x+5x+5  

a)

x2+2x+3x^2+2x+3  

b)

x22x+3x^2-2x+3  

c)

x22x3x^2-2x-3  

d)

x2+2x3x^2+2x-3  

85.

Rewrite this Expression 12x3+6x22x\frac{12x^3+6x^2}{2x}  as a separate monomial

a)

(12x3)2x+(6x2)2x\frac{\left(12x^3\right)}{2x}+\frac{\left(6x^2\right)}{2x}  

b)

2x32x\frac{2x^3}{2x}  

c)

(12x3)2x\frac{\left(12x^3\right)}{2x}  

d)

(6x2)2x\frac{\left(6x^2\right)}{2x}  

86.

8x2+24x -8x^2+24x\  divided by  4x-4x  

a)

2x+6-2x+6  

b)

2x62x-6  

c)

2x+62x+6  

d)

2x6-2x-6  

87.

Divide 2x29x22x^2-9x-2  by  x5x-5  

a)

2x13x52x-1-\frac{3}{x-5}  

b)

2x+xxx+52x+x-\frac{x}{x+5}  

c)

2x+1+3x52x+1+\frac{3}{x-5}  

d)

2x+1+352x+1+\frac{3}{5}  

88.

Simplify:

5a(a2 + 3a - 4 )

a)

5a2 + 15a - 20

b)

5a3 - 15a2 + 20a

c)

5a3 + 15a2 - 20a

d)

5a2 - 15a + 20

89.

Multiply: 3m2n ( 4m2 - 5n + 3 )

a)

3m4n - 15m2n2 + 9m2n

b)

12m4n - 15m2n2 + 9m2n

c)

12m2n + 15m2n2 - 9m2n

d)

4m4n - 5m2n2 + 3m2n

90.

Multiply:

(4a + 5 )( 5a - 7 )

a)

20a - 35

b)

20a + 35

c)

20a2 - 3a - 35

d)

20a2 + 3a - 35

91.

Multiply:

( 7x - 10 ) ( 2x - 5 )

a)

14x2 + 50

b)

14x2 - 50

c)

14x2 - 55x + 50

d)

14x2 - 55x - 50

92.

What is the product of ( 8p + 11 )( 8p - 11 )?

a)

8p2 - 22

b)

16p2 - 22

c)

64p2 - 121

d)

64p2 - 88p - 121

93.

Multiply:

(4a + 5 )( 5a - 7 )

a)

20a - 35

b)

20a + 35

c)

20a2 - 3a - 35

d)

20a2 + 3a - 35

94.

Multiply:

( 2x + 3 ) ( 4x2 - 6x + 9 )

a)

8x2 - 12x + 27

b)

8x3 - 12x2 - 27

c)

8x3 - 27

d)

8x3 + 27

95.

Which term must be inserted in the dividend before you begin long division?

(2x3+5x2+9)÷(x+3)\left(2x^3+5x^2+9\right)\div\left(x+3\right)  

a)

0x40x^4  

b)

0x30x^3  

c)

0x20x^2  

d)

0x0x  

96.
What should be the order of the polynomial coefficients if
(3x - 4x3 + 6x4 + 1) / (x + 3)
a)
3   0   -4   6   1
b)
6   -4   3   1   0
c)
6   -4   0   3   1
d)
-6   4   0   -3   -1
97.

Solve using long division. (x2+2x  63)÷(x+9)\left(x^2+2x\ -\ 63\right)\div\left(x+9\right)  

a)

x7x-7  

b)

x27x^2-7  

c)

x+7x+7  

d)

x2+3x54x^2+3x-54  

98.

Solve using long division (2x2+6x20)÷(2x4)\left(2x^2+6x-20\right)\div\left(2x-4\right)  

a)

x+5+22x4x+5+\frac{2}{2x-4}  

b)

x8x-8  

c)

x5+32x4x-5+\frac{3}{2x-4}  

d)

x+5x+5   

99.

The answer to a division question is called the. . .

a)

Divisor

b)

Multiplier

c)

Quotient

d)

Sum

100.

Simplify.

a)

2n + 2

b)

4n + 2

c)

2n + 4

d)

4n + 4

101.
What do you call the number that you divide by?
a)
Quotient
b)
Divisor
c)
Remainder
d)
Factor
102.

Solve and Simplify (no exponent)

34×333^{-4}\times3^3  

a)

131\frac{1}{3^1}  

b)

313^{-1}  

c)

13\frac{1}{3}  

d)

12187\frac{1}{2187}  

103.

Solve and Simplify (no exponent)

202^0  

a)

00  

b)

11  

c)

22  

d)

12\frac{1}{2}  

104.

Solve and Simplify (no exponent)

(12)4\left(\frac{1}{2}\right)^4  

a)

14\frac{1}{4}  

b)

1616  

c)

124\frac{1}{2^4}  

d)

116\frac{1}{16}  

105.

Solve and Simplify (no exponent)

(23)2\left(2\cdot3\right)^2  

a)

3636  

b)

1212  

c)

2424  

d)

136\frac{1}{36}  

106.

Solve and Simplify (no exponent)

(22)3\left(2^2\right)^3

a)

262^6

b)

6464

c)

252^5

d)

3232

107.
Evaluate the expression using the quotient rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
2z7
108.

The area of a parallelogram is 54y260y54y^2-60y , if its base is 6y6y , what is its height?

a)

9y109y-10

b)

y-y

c)

9y+109y+10

d)

8y8y

109.

In an architectural project, the storage room is to have an area described by 4a2+23a354a^2+23a-35 . If the length is described as a+7a+7 , find an expression for the width.

a)

4a54a-5

b)

4a+54a+5

c)

3a+63a+6

d)

3a63a-6

110.

The volume of a box is given by the polynomial 6x3+3x230x6x^3+3x^2-30x . The length is 3x3x  and the width is x2x-2 . Find the height of the box.

a)

3x26x3x^2-6x

b)

6x2+15x6x^2+15x

c)

2x+52x+5

d)

x5x-5

111.

A mathematical expression that any variables in the expression must have whole-number powers, contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominator of any of any fraction.

a)

   Monomial

b)

Binomial

c)

Polynomial

d)

Trinomial

112.

An expression contains only one term.      

a)

     Monomial

b)

Binomial

c)

Polynomial

d)

Trinomial

113.

Is an expression which composed of exactly three terms.

a)

  Monomial

b)

Binomial

c)

Polynomial

d)

        Trinomial

114.

Expression which contains exactly two terms. It can be consider as a sum or difference between two or more monomial.

 

a)

    Monomial

    

b)

Binomial

c)

Polynomial

d)

Trinomial

115.

To add polynomials, simply combine similar terms. To combine similar terms get the sum of the numerical coefficients and annex the same literal coefficients. If there are more than one term, for convenience, write the similar terms in the same column.

 

a)

  Addition on polynomials

b)

Subtraction of polynomials

c)

     Multiplication of polynomials

d)

Division of polynomials

116.

Two or more polynomials when multiplied always result in a polynomial of higher degree (unless one of them is a constant polynomial).

a)

    Addition on polynomials

  

b)

  Subtraction of polynomials

c)

Multiplication of polynomials

d)

Division of polynomials

117.

To subtract polynomials, change the sign of the subtrahend then proceed to the addition rule. Also remember what subtraction means. It is adding the negative of the quantity.   

a)

Addition on polynomials

b)

    Subtraction of polynomials

c)

Multiplication of polynomials

d)

Division of polynomials

118.

Division of two polynomials may or may not result in a polynomial.

 

  

a)

Addition on polynomials

b)

Subtraction of polynomials

c)

Multiplication of polynomials

d)

Division of polynomials

119.

1. As per law, the fraction of two different bases with the same power is presented as,  a2b2\frac{a^2}{b^2}  

a)

   Product of power

    

b)

Quotient of power

c)

Power raise to power

d)

Zero power

120.

1.

 

According to this rule, when the power of any integers is zero, then its value is equal to 1, such as, a0=1a^0=1  

 

a)

Product of power

b)

Quotient of power

c)

Power raise to power

d)

Zero power

121.

According to this law if ‘a’ is the base then the power raise to the power base ‘a’ gives the product of the powers raise to the base ‘a’, such as; (am)n=amn\left(a^m\right)^n=a^{mn}  

 

a)

Product of power

b)

Quotient of power

c)

Power raise to power

d)

Zero power

122.

As per rule, for two or more different bases, if power is the same then,

anbn=(ab)na^nb^n=\left(ab\right)^n  

     

a)

  Product of power

b)

Quotient of power

c)

Power raise to power

d)

Zero power

123.

What is the sum of (38x)+(7x+2)\left(38x\right)+\left(7x+2\right)  ?

a)

40x+240x+2  

b)

45x+245x+2  

c)

50x+250x+2  

d)

45x+445x+4  

124.

Get the answer (12x3+8x2)(13x3+10x+8)\left(12x^3+8x-2\right)-\left(13x^3+10x+8\right)  

a)

x3+2x+6x^3+2x+6  

b)

2x32x22x^3-2x-2  

c)

3x32+63x^3-2+6  

d)

28x318+628x^3-18+6  

125.

Perform the indicated operation 10xy8xy10xy-8xy  

a)

xy

b)

2xy

c)

3xy

d)

18xy

126.

Find the product x2x3x^2\cdot x^3  

a)

x

b)

x5x^5  

c)

x7x^7  

d)

x+5x+5  

127.

Find the quotient x12÷x5x^{12}\div x^5  

a)

x17x^{17}  

b)

x20x^{20}  

c)

x7x^7  

d)

x

128.

Divide 12x416x3+8x212x^4-16x^3+8x^2  by 4x24x^2  

a)

3x24x+23x^2-4x+2  

b)

3x4x+23x-4x+2  

c)

3x2+423x^2+4-2  

d)

3x3423x^3-4-2  

129.

If I bought (3x5)\left(3x-5\right)  pencils which cost (5x1)\left(5x-1\right)  peso each,how much will I pay for it?

a)

x22x+1x^2-2x+1  

b)

8x4+4x28x^4+4x-2  

c)

8x2+2x18x^2+2x-1  

d)

x2+2x4x^2+2x-4  

130.

Divide 15x4y3+25x3y320x2y45x2y3\frac{15x^4y^3+25x^3y^3-20x^2y^4}{-5x^2y^3}  

a)

3x25x+4y3x^2-5x+4y  

b)

3x2+5x+4y3x^2+5x+4y  

c)

x2+5x+4yx^2+5x+4y  

d)

3x25x+4y-3x^2-5x+4y  

131.

4x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

132.

15x4y3+25x3y320x2y415x^4y^3+25x^3y^3-20x^2y^4  

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

133.

48x3y+243xy12x3y+448x^3y+24^3xy-12x^3y+4  

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

134.

6d7+4d6d^7+4d  

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

135.

25x54x46x3+3x2+1025x^5-4x^4-6x^3+3x^2+10  

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

136.

A mathematical expression that any variables in the expression must have whole-number powers, contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominator of any of any fraction.

a)

   Monomial

b)

Binomial

c)

Polynomial

d)

Trinomial

137.

An expression contains only one term.      

a)

     Monomial

b)

Binomial

c)

Polynomial

d)

Trinomial

138.

Is an expression which composed of exactly three terms.

a)

  Monomial

b)

Binomial

c)

Polynomial

d)

        Trinomial

139.

Expression which contains exactly two terms. It can be consider as a sum or difference between two or more monomial.

 

a)

    Monomial

    

b)

Binomial

c)

Polynomial

d)

Trinomial

140.

To add polynomials, simply combine similar terms. To combine similar terms get the sum of the numerical coefficients and annex the same literal coefficients. If there are more than one term, for convenience, write the similar terms in the same column.

 

a)

  Addition on polynomials

b)

Subtraction of polynomials

c)

     Multiplication of polynomials

d)

Division of polynomials

141.

Two or more polynomials when multiplied always result in a polynomial of higher degree (unless one of them is a constant polynomial).

a)

    Addition on polynomials

  

b)

  Subtraction of polynomials

c)

Multiplication of polynomials

d)

Division of polynomials

142.

To subtract polynomials, change the sign of the subtrahend then proceed to the addition rule. Also remember what subtraction means. It is adding the negative of the quantity.   

a)

Addition on polynomials

b)

    Subtraction of polynomials

c)

Multiplication of polynomials

d)

Division of polynomials

143.

Division of two polynomials may or may not result in a polynomial.

 

  

a)

Addition on polynomials

b)

Subtraction of polynomials

c)

Multiplication of polynomials

d)

Division of polynomials

144.

1. As per law, the fraction of two different bases with the same power is presented as,  a2b2\frac{a^2}{b^2}  

a)

   Product of power

    

b)

Quotient of power

c)

Power raise to power

d)

Zero power

145.

1.

 

According to this rule, when the power of any integers is zero, then its value is equal to 1, such as, a0=1a^0=1  

 

a)

Product of power

b)

Quotient of power

c)

Power raise to power

d)

Zero power

146.

According to this law if ‘a’ is the base then the power raise to the power base ‘a’ gives the product of the powers raise to the base ‘a’, such as; (am)n=amn\left(a^m\right)^n=a^{mn}  

 

a)

Product of power

b)

Quotient of power

c)

Power raise to power

d)

Zero power

147.

As per rule, for two or more different bases, if power is the same then,

anbn=(ab)na^nb^n=\left(ab\right)^n  

     

a)

  Product of power

b)

Quotient of power

c)

Power raise to power

d)

Zero power

148.

What is the sum of (38x)+(7x+2)\left(38x\right)+\left(7x+2\right)  ?

a)

40x+240x+2  

b)

45x+245x+2  

c)

50x+250x+2  

d)

45x+445x+4  

149.

Get the answer (12x3+8x2)(13x3+10x+8)\left(12x^3+8x-2\right)-\left(13x^3+10x+8\right)  

a)

x3+2x+6x^3+2x+6  

b)

2x32x22x^3-2x-2  

c)

3x32+63x^3-2+6  

d)

28x318+628x^3-18+6  

150.

Perform the indicated operation 10xy8xy10xy-8xy  

a)

xy

b)

2xy

c)

3xy

d)

18xy

151.

Find the product x2x3x^2\cdot x^3  

a)

x

b)

x5x^5  

c)

x7x^7  

d)

x+5x+5  

152.

Find the quotient x12÷x5x^{12}\div x^5  

a)

x17x^{17}  

b)

x20x^{20}  

c)

x7x^7  

d)

x

153.

Divide 12x416x3+8x212x^4-16x^3+8x^2  by 4x24x^2  

a)

3x24x+23x^2-4x+2  

b)

3x4x+23x-4x+2  

c)

3x2+423x^2+4-2  

d)

3x3423x^3-4-2  

154.

If I bought (3x5)\left(3x-5\right)  pencils which cost (5x1)\left(5x-1\right)  peso each,how much will I pay for it?

a)

x22x+1x^2-2x+1  

b)

8x4+4x28x^4+4x-2  

c)

8x2+2x18x^2+2x-1  

d)

x2+2x4x^2+2x-4  

155.

Divide 15x4y3+25x3y320x2y45x2y3\frac{15x^4y^3+25x^3y^3-20x^2y^4}{-5x^2y^3}  

a)

3x25x+4y3x^2-5x+4y  

b)

3x2+5x+4y3x^2+5x+4y  

c)

x2+5x+4yx^2+5x+4y  

d)

3x25x+4y-3x^2-5x+4y  

156.

4x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

157.

15x4y3+25x3y320x2y415x^4y^3+25x^3y^3-20x^2y^4  

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

158.

48x3y+243xy12x3y+448x^3y+24^3xy-12x^3y+4  

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

159.

6d7+4d6d^7+4d  

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

160.

25x54x46x3+3x2+1025x^5-4x^4-6x^3+3x^2+10  

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

161.

A mathematical expression that any variables in the expression must have whole-number powers, contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominator of any of any fraction.

a)

   Monomial

b)

Binomial

c)

Polynomial

d)

Trinomial

162.

An expression contains only one term.      

a)

     Monomial

b)

Binomial

c)

Polynomial

d)

Trinomial

163.

Is an expression which composed of exactly three terms.

a)

  Monomial

b)

Binomial

c)

Polynomial

d)

        Trinomial

164.

Expression which contains exactly two terms. It can be consider as a sum or difference between two or more monomial.

 

a)

    Monomial

    

b)

Binomial

c)

Polynomial

d)

Trinomial

165.

To add polynomials, simply combine similar terms. To combine similar terms get the sum of the numerical coefficients and annex the same literal coefficients. If there are more than one term, for convenience, write the similar terms in the same column.

 

a)

  Addition on polynomials

b)

Subtraction of polynomials

c)

     Multiplication of polynomials

d)

Division of polynomials

166.

Two or more polynomials when multiplied always result in a polynomial of higher degree (unless one of them is a constant polynomial).

a)

    Addition on polynomials

  

b)

  Subtraction of polynomials

c)

Multiplication of polynomials

d)

Division of polynomials

167.

To subtract polynomials, change the sign of the subtrahend then proceed to the addition rule. Also remember what subtraction means. It is adding the negative of the quantity.   

a)

Addition on polynomials

b)

    Subtraction of polynomials

c)

Multiplication of polynomials

d)

Division of polynomials

168.

Division of two polynomials may or may not result in a polynomial.

 

  

a)

Addition on polynomials

b)

Subtraction of polynomials

c)

Multiplication of polynomials

d)

Division of polynomials

169.

1. As per law, the fraction of two different bases with the same power is presented as,  a2b2\frac{a^2}{b^2}  

a)

   Product of power

    

b)

Quotient of power

c)

Power raise to power

d)

Zero power

170.

1.

 

According to this rule, when the power of any integers is zero, then its value is equal to 1, such as, a0=1a^0=1  

 

a)

Product of power

b)

Quotient of power

c)

Power raise to power

d)

Zero power

171.

According to this law if ‘a’ is the base then the power raise to the power base ‘a’ gives the product of the powers raise to the base ‘a’, such as; (am)n=amn\left(a^m\right)^n=a^{mn}  

 

a)

Product of power

b)

Quotient of power

c)

Power raise to power

d)

Zero power

172.

As per rule, for two or more different bases, if power is the same then,

anbn=(ab)na^nb^n=\left(ab\right)^n  

     

a)

  Product of power

b)

Quotient of power

c)

Power raise to power

d)

Zero power

173.

What is the sum of (38x)+(7x+2)\left(38x\right)+\left(7x+2\right)  ?

a)

40x+240x+2  

b)

45x+245x+2  

c)

50x+250x+2  

d)

45x+445x+4  

174.

Get the answer (12x3+8x2)(13x3+10x+8)\left(12x^3+8x-2\right)-\left(13x^3+10x+8\right)  

a)

x3+2x+6x^3+2x+6  

b)

2x32x22x^3-2x-2  

c)

3x32+63x^3-2+6  

d)

28x318+628x^3-18+6  

175.

Perform the indicated operation 10xy8xy10xy-8xy  

a)

xy

b)

2xy

c)

3xy

d)

18xy

176.

Find the product x2x3x^2\cdot x^3  

a)

x

b)

x5x^5  

c)

x7x^7  

d)

x+5x+5  

177.

Find the quotient x12÷x5x^{12}\div x^5  

a)

x17x^{17}  

b)

x20x^{20}  

c)

x7x^7  

d)

x

178.

Divide 12x416x3+8x212x^4-16x^3+8x^2  by 4x24x^2  

a)

3x24x+23x^2-4x+2  

b)

3x4x+23x-4x+2  

c)

3x2+423x^2+4-2  

d)

3x3423x^3-4-2  

179.

If I bought (3x5)\left(3x-5\right)  pencils which cost (5x1)\left(5x-1\right)  peso each,how much will I pay for it?

a)

x22x+1x^2-2x+1  

b)

8x4+4x28x^4+4x-2  

c)

8x2+2x18x^2+2x-1  

d)

x2+2x4x^2+2x-4  

180.

Divide 15x4y3+25x3y320x2y45x2y3\frac{15x^4y^3+25x^3y^3-20x^2y^4}{-5x^2y^3}  

a)

3x25x+4y3x^2-5x+4y  

b)

3x2+5x+4y3x^2+5x+4y  

c)

x2+5x+4yx^2+5x+4y  

d)

3x25x+4y-3x^2-5x+4y  

181.

4x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

182.

15x4y3+25x3y320x2y415x^4y^3+25x^3y^3-20x^2y^4  

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

183.

48x3y+243xy12x3y+448x^3y+24^3xy-12x^3y+4  

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

184.

6d7+4d6d^7+4d  

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

185.

25x54x46x3+3x2+1025x^5-4x^4-6x^3+3x^2+10  

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

186.
Classify the polynomial by its degree.
x2 + 2x3 - 4
a)
A
binomial
b)
B
trinomial
c)
C
quadratic
d)
D
cubic
187.
Classify the polynomial by its number of terms.
 4x² - 2
a)
A
monomial
b)
B
binomial
c)
C
trinomial
d)
D
polynomial
188.
What is the degree of the polynomial?
x3y- 7x2y + 3
a)
A
1
b)
B
3
c)
C
5
d)
D
7
189.
Which is an example of a cubic monomial?
a)
A
x³ + 5
b)
B
x² + 3
c)
C
x² + 5x - 6
d)
D
5x³
190.
What is the degree of this term?
-7x3y2z2
a)
A
3
b)
B
2
c)
C
12
d)
D
7
191.
How many terms are in the following polynomial?
3xy - 2y + 8x - 7z -16
a)
A
1
b)
B
2
c)
C
4
d)
D
5
192.
Terms in a polynomial are separated by what?
a)
A
Parenthesis
b)
B
Multiplication/
Division 
c)
C
Constants
d)
D
Addition/
Subtractraction
193.
What is the degree classification of this polynomial?
x²+4x-8
a)
binomial
b)
trinomial
c)
quadratic
d)
cubic
194.
What is the term classification of the following polynomial?
x³-7x²+3
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
195.
Which is an example of a cubic binomial?
a)
x³+5
b)
x²+3
c)
x²+5x-6
d)
5x³
196.
Which of these has a negative leading coefficient?
a)
x²+9x-4
b)
6x-9
c)
-8x+8
d)
9x
197.
What is the classification of the following polynomial?
x²-8x+10
a)
quadratic binomial
b)
cubic trinomial
c)
linear binomial
d)
quadratic trinomial
198.
Add the following polynomials
(x³-6x²+3)+(3x³+4x-1)
a)
4x³-2x²+2
b)
4x³-6x²+4x+2
c)
-2x³+2x+2
d)
4x³-2x²-2
199.
Subtract the following polynomials:
(3x²-3x+2)-(x²-2x+1)
a)
2x²+x+1
b)
2x²-5x+3
c)
2x²-x+1
d)
4x²-5x+3
200.
What is the GCF in this polynomial?
3x²+6x-18
a)
2
b)
3
c)
6
d)
18
201.

What is the degree classification of this polynomial?

x2 + 4x -8

a)

binomial

b)

trinomial

c)

quadratic

d)

cubic

202.

What is the term classification of the following polynomial?

x3 - 7x2 +3

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

203.

Which is an example of a linear polynomial?

a)

x2 - 5

b)

6x + 4

c)

5x5

d)

2x3 - 9x2

204.

Which is an example of a cubic binomial?

a)

x3 + 5

b)

x2 + 3

c)

x2 + 5x - 6

d)

5x3

205.

What is the constant of this polynomial? 2x3 - 8x2 + 3x - 7

a)

2

b)

-8

c)

3

d)

-7

206.
Which of the following are examples of like terms?
a)
2 and 2x
b)
yand x3
c)
y and x
d)
-3x and 3x
207.
Add the polynomials.
(2x + 5y) + (3x - 2y)
a)
3x + 5y
b)
5x + 3y
c)
5x + 7y
d)
7xy + 1xy
208.
Add the polynomials.
(3x3 + 3x2 – 4x + 5) + (x3 – 2x2 + x – 4)
a)
4x3 + 1x2 – 3x + 1
b)
2x3 + 1x2 - 5x + 9
c)
6x3 + 1x - 1x2 - 3
d)
3x5 +1x - 1x5 - 3x
209.
What is the standard form of the polynomial,
 9x2 + 5x + 27 + 2x3
a)
27 + 5x + 9x2 + 2x3
b)
9x2 + 5x + 2x3 + 27
c)
9x2 + 5x + 27 + 2x3
d)
2x3 + 9x2 + 5x + 27
210.
Add: (3x - 2) + (3x2 + 6x)
a)
3x2 + 9x - 2
b)
6x+ 4x
c)
3x+ 3x - 2
d)
6x2 + 6x - 2
211.

Subtract: (2a2 + 5a + 3) - (a2 - 3a - 4)

a)
3a2 + 2a - 1
b)
a+ 8a + 7
c)
3a+ 8a + 7
d)
a2 + 2a - 1
212.

Add or Subtract to Simplify: (x5 + x3) - (6x5 + - x3 + 6x)

a)
-5x5 + 2x3 - 6x
b)
7x5 - 6x
c)
-5x3 + 2x2 - 6x
d)
-5x5 - 6x
213.

Combine like terms

(4x4 - 3x2 + 6x) + (7x4 + 5x2 + 8x)

a)
11x4  + 2x2 + 14x
b)
16x4  + x2 + 14x
c)
11x4  + x2 + 14x
d)
11x4  + 2x2 + 10x
214.

4x- 3x2 = ?

a)
7x2
b)
2x2
c)
x2
d)
-7x2
215.
What is the term classification of the following polynomial?
x³-7x²+3
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
216.
What is the degree of the polynomial
 x2-2x+5
a)
1
b)
2
c)
3
d)
0
217.
Classify the polynomial and give the degree:
4x2 + 2x - 1
a)

Binomial,

3rd degree

b)

Binomial,

2nd degree

c)

Trinomial,

3rd degree

d)

Trinomial,

2nd degree

218.
Identify the degree of the monomial:
8a3
a)
8
b)
1
c)
3
d)
11
219.
A polynomial that has two terms is a:
a)
polynomial
b)
monomial
c)
binomial
220.
What are like terms?
Terms that have....
a)
the same variables
b)
the same exponents
c)
the same coefficients
d)
the same variables and exponents