Free Printable Polynomials REVIEW

1.

Classify by number of terms:
3x² – 8x + 1

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

2.

Classify by number of terms:
12

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

3.

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

4.

Simplify the expression.
-3x²( 7x²- x + 4)

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

5.

5x(4x³ + 8)

a)

9x⁴ + 40x

b)

20x⁴ + 40x

6.

-6x(x² - 7x)

a)

-6x³ + 42x²

b)

-6x³ - 42x²

7.

Multiply:
(3x – 1)(x + 5)

a)

3x² + 4x + 5

b)

3x² + 4x - 5

c)

3x² + 14x + 5

d)

3x² + 14x - 5

8.

a)

8x⁴

b)

8x⁸

c)

6x⁴

d)

6x⁸

9.

a)

4y⁶

b)

4y²²

c)

30y⁶

d)

30y²²

10.

(x + 5)²

Hint: try (x + 5)(x + 5)

a)

x² + 25

b)

x² + 10x + 25

c)

x² + 10 x + 10

d)

x² + 10

11.

(x + 7)(x - 2)

a)

x² - 5x + 5

b)

x²- 9x - 14

c)

x² - 5x - 14

d)

x² + 5x - 14

12.

Add to Simplify:
(4x - 2x³) + (5x³ - 4x + 5)

a)

3x³ + 5

b)

3x³ + 8x + 5

c)

3x² + 5

d)

7x³ + 8x + 5

13.

Classify by the DEGREE:
4x³ - 5x² + 2x - 1

a)

Degree of 1

b)

Degree of 2

c)

Degree of 3

d)

Degree of 4

14.

What is the correct name of the following:
3xy + 4x + 5y + 6

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

15.

Classify by the DEGREE:
4x³ - 5x² + 2x - 1

a)

Degree of 1

b)

Degree of 2

c)

Degree of 3

d)

Degree of 4

16.

Simplify the expression.
-3x²( 7x²- x + 4)

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

17.

Find the product.
(x + 7)²

a)

x²+ 7x + 7x + 49

b)

x²+ 7x + 7

c)

7x²+ x + 7

d)

x² + 14x + 49

18.

Divide the polynomial by the monomial. $\frac{15x^3-40x^2+60x}{-5x}$

a)

15x⁹ - 8x³

b)

$-3x^2+8x-12$

c)

-5x¹²

d)

$3x^2-8x-12$

19.

Simplify by combining like terms:
4x² - 3x + 11 -2x

a)

4x² - 5x + 11

b)

11x + 11

c)

16x² - 5x + 11

d)

10x²

20.

What is the GCF? 5x²+20x

a)

5

b)

x

c)

5x

d)

20x

21.

Factor:
80x⁵-70x²-60x⁷

a)

2x²(80x³-70-60x⁶)

b)

10x²(80x⁴-70x-60x⁶)

c)

10x²(8x³-7-6x⁵)

d)

3x²(80x³-40-60x⁵)

22.

Simplify:

5(3x+2)

a)

3x+10

b)

15x+10

c)

15x-10

d)

3x-10

23.

(2x - 1)(x + 2)

a)

2x² + 3x - 2

b)

2x² - 5x - 2

c)

2x² + 3x + 2

d)

2x² - 5x + 2

24.

Factor
n² + 5n - 6

a)

(n - 2)(n - 3)

b)

(n - 1)(n + 6)

c)

(n + 1)(n - 6)

d)

(n + 2)(n - 3)

25.

Factor
a² - a - 12

a)

(a - 4)(a + 3)

b)

(a + 6)(a - 4)

c)

(a - 6)(a + 4)

d)

(a + 4)(a - 3)

26.

Factor Completely: 2x² + x - 6

a)

(x + 2) (2x -3)

b)

(x - 6) (2x + 1)

c)

(x + 1) (2x - 6)

d)

(x - 2) (2x + 3)

27.

Factorly Completely: 2x² - 7x + 6

a)

(x -1)(2x - 6)

b)

(x - 3) (2x - 2)

c)

(x - 2) (2x - 3)

d)

(x - 6) (2x - 1)

28.

Factor Completely: 4x² - 20x + 25

a)

(4x - 25) (x -1)

b)

(2x + 5) (2x - 5)

c)

(2x - 5)²

d)

(4x - 5) (x - 5)

29.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

30.

What is the degree of the polynomial

f(x) = -6x² + 3x + 6

a)

-6

b)

2

c)

0

d)

1

31.

Classify -10x⁵

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

32.

What is the leading coefficient of the following polynomial?
4x^{3 +}3x² - 2x - 4

a)

4

b)

3

c)

x³

d)

x²

33.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

34.

Classify by number of terms:
3x² – 8x + 1

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

35.

Simplify the exponential expression:

a)

10x^-2

b)

2x²

c)

2x¹²

d)

10x¹²

36.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

37.

Any number written to the 0 power is always 1
Example: 8⁰=1

a)

True

b)

False

38.

Choose the answer.
5²

a)

10

b)

15

c)

20

d)

25

39.

w + w + w could be simplified as?

a)

3w

b)

3

c)

w

d)

0

40.

Find the product:
(n - 5)(n - 1)

a)

n² - 5n + 5

b)

n² - 6n + 5

c)

n²+ 5

d)

n² + 6n + 5

41.

Factor 8x³ + 18x.

a)

2x(4x² + 9)

b)

8x(x² + 10)

c)

2(4x³ + 9x)

d)

8(x³ + 10x)

42.

What is the first question you ask yourself when factoring a polynomial?

a)

How many terms does it have?

b)

Is there a GCF?

c)

Have I completed all of my Algebra assignments this nine weeks?

d)

How long is this going to take?!?!?!

43.

Factor:
x²+ 7x + 12

a)

(x - 3)(x + 4)

b)

(x + 3)(x - 4)

c)

(x - 3)(x - 4)

d)

(x + 3)(x + 4)

44.

What is the degree of the polynomial 3x²y + 2x² + 5xy³ ?

a)

1

b)

2

c)

3

d)

4

45.

What is the type of polynomial?
4x⁵ - 3x³

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

46.

$\left(8x^2-x+7\right)-\left(-2x^2+3x-8\right)$

a)

$6x^2+2x-1$

b)

$6x^2-4x-1$

c)

$10x^2+2x+15$

d)

$10x^2-4x+15$

47.

$\frac{10x^2y}{2xy^4}$

a)

$5xy^3$

b)

$\frac{5x}{y^3}$

c)

$8xy^5$

d)

$8xy^{-3}$

48.

Which of the following is equivalent to

\left(x+9\right)\left(x-9\right)

?

a)

$x^2-81$

b)

$x^2-18$

c)

$x^2-18x-81$

d)

$x^2+18x-81$

49.

Simplify.

a)

2n + 2

b)

4n + 2

c)

2n + 4

d)

4n + 4

50.

Identify

-10x-x^2-6x^4-x^5+8x^6

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

51.

Identify

7+2b

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

52.

Identify

7r^4+7r^2+7-6r^6

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

53.

What is the degree of the polynomial?

-10x-x^2-6x^4-x^5+8x^6

a)

0

b)

2

c)

4

d)

6

54.

What is the degree of the polynomial?

7+2b

a)

0

b)

1

c)

2

d)

7

55.

What is the degree of the polynomial?

6

a)

0

b)

1

c)

2

d)

6

56.

Write in descending order.

-10x-x^2-6x^4-x^5+8x^6

a)

$-10x-x^2-6x^4-x^5+8x^6$

b)

$8x^6-x^5-6x^4-x^2-10x$

c)

$-x^2-x^5-6x^4+8x^6-10x$

d)

$-10x-6x^4-x^5-x^2+8x^6$

57.

Factor the Trinomial:
x² - 8x + 15

a)

(x + 5) ( x + 3)

b)

(x - 5) (x - 3)

c)

(x + 15) (x - 1)

d)

(x - 7) (x - 8)

58.

Factor: x² – 5x – 24

a)

(x - 5)(x + 19)

b)

(x - 8)(x + 3)

c)

(x - 3)(x + 8)

d)

(x - 19)(x + 5)

59.

Factor: x² + 2x – 3

a)

(x - 2)(x + 1)

b)

(x + 1)(x - 3)

c)

(x + 2)(x - 1)

d)

(x - 1)(x + 3)

60.

Factor
x²+ 12x + 36

a)

(x + 6)(x +6)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 6)(x - 6)

61.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

62.

Factor
3a² + 4a + 1

a)

(7a-10)(a-8)

b)

Not factorable

c)

(3a+1)(a+1)

d)

(3a-1)(a-1)

63.

Factor
x²-16x + 48

a)

(x - 12)(x - 4)

b)

(x + 6)(x - 8)

c)

(x + 12)(x - 4)

d)

(x -16)(x - 3)

64.

Factor
x² - 5x - 36

a)

(x - 4)(x + 9)

b)

(x - 6)(x + 6)

c)

(x + 4)(x - 9)

d)

(x -12)(x + 3)

65.

Factor
n² + 5n - 6

a)

(n - 2)(n - 3)

b)

(n - 1)(n + 6)

c)

(n + 1)(n - 6)

d)

(n + 2)(n - 3)

66.

Factor
a² - a - 12

a)

(a - 4)(a + 3)

b)

(a + 6)(a - 4)

c)

(a - 6)(a + 4)

d)

(a + 4)(a - 3)

67.

Factor
x² - 5x - 36

a)

(x - 4)(x + 9)

b)

(x - 6)(x + 6)

c)

(x + 4)(x - 9)

d)

(x -12)(x + 3)

68.

Factor
x² +17x - 60

a)

(x - 20)(x + 3)

b)

(x + 12)(x - 5)

c)

(x - 12)(x + 5)

d)

(x + 20)(x - 3)

69.

Factor:
x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

70.

Factor
x² +5x - 36

a)

(x + 9)(x - 4)

b)

(x + 12)(x - 3)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

71.

Factor
x² - 4x - 32

a)

(x + 4)(x + 8)

b)

(x - 4)(x + 8)

c)

(x + 4)(x - 8)

d)

(x -2)(x + 3)

72.

Factor the Trinomial:
x² - 8x + 15

a)

(x + 5) ( x + 3)

b)

(x - 5) (x - 3)

c)

(x + 15) (x - 1)

d)

(x - 7) (x - 8)

73.

Divide the polynomial by the monomial.

a)

15x⁹ - 8x³

b)

3x⁶ - 8x³

c)

-5x¹²

d)

3x⁶ - 40x³

74.

a)

4y⁶

b)

4y²²

c)

30y⁶

d)

30y²²

75.

Classify this polynomial by its degree and number of terms: 4x³

a)

Cubic monomial

b)

Linear binomial

c)

Cubic binomial

d)

6th degree (sextic) monomial

76.

Classify by number of terms:
3x³ – 6x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

77.

Classify by degree of polynomial:
3x³ – 6x

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

78.

Classify by number of terms:
3x² – 8x + 1

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

79.

What is the the standard form for the following expression?
-6x + 4x² - 13

a)

-13 - 6x + 4x²

b)

4x²-6x - 13

c)

-13 + 4x² - 6x

d)

4x² - 13 - 6x

80.

(4x²+ x) - (x²+ 2x)

a)

3x²- x

b)

4x²+ 2x

c)

3x² + 3x

d)

3x² + 2x

81.

How many terms are in the following polynomial?
3x³ - 2x + 8x -16

a)

-16

b)

2

c)

3

d)

8

82.

Name the following polynomial using the degree and number of terms.
15x³ + 6

a)

Cubic Binomial

b)

Linear Binomial

c)

Cubic Trinomial

d)

Cubic Monomial

83.

Name of polynomial with 3 terms

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

84.

What is the name of 1 term?

a)

Trinomial

b)

binominal

c)

term

d)

monomial

85.

What is the name of 3 term?

a)

binomial

b)

trinomial

c)

degree

d)

monomial

86.

$8x^3-6x$

How many terms?

a)

1

b)

2

c)

3

d)

4

87.

$-3x^5-3x+7$

What is the degree ?

a)

5

b)

3

c)

7

88.

Is this a polynomial or not?

5x⁴ - 7x

a)

Yes

b)

No

89.

Is this a polynomial or not?

a)

Yes

b)

No

90.

Is this a polynomial?

a)

Yes

b)

No

91.

What does the F in FOIL stand for?

a)

Fire

b)

First

c)

Friends

d)

Fabulous

92.

What does the O in FOIL stand for?

a)

Only

b)

Orange

c)

Outlandish

d)

Outer

93.

What does the I in FOIL stand for?

a)

Inner

b)

Imaginary

c)

Inception

d)

Ice, baby ice.

94.

What does the L in FOIL stand for?

a)

Least

b)

Lark

c)

Last

d)

Lower

95.

(x - 7)(x + 7)

a)

x² + 7x - 49

b)

x² - 7x + 49

c)

x² - 49

d)

x² + 49

96.

(x - 1)(x - 8)

a)

x² + 9x + 8

b)

x²+ 9x - 8

c)

x² - 9x - 8

d)

x² - 9x + 8

97.

(x + 7)(x + 9)

a)

x² + 63x + 16

b)

x² + 16x + 63

c)

x² + 79

d)

x² + 16x + 2

98.

(x - 3)(x +10)

a)

x² - 7x + 13

b)

x² - 6x - 30

c)

x² + 7x - 30

d)

x² + 13x + 30

99.

Use your memory of special cases : ( 3y + 8) ( 3y - 8)

a)

24 y² -9y - 64

b)

9y + 64

c)

24y -64

d)

9y ² - 64

100.

Use your memory of special cases: ( w + 6) ( w -6)

a)

w² + 12w -36

b)

w² - 12w - 12

c)

w² - 36

d)

w² + 36

101.

Multiply

(x - 7)(x + 7)

a)

x² + 7x - 49

b)

x² - 7x + 49

c)

x² - 49

d)

x² + 49

102.

Multiply

(x + 5)(x + 5)

a)

x² + 25

b)

x² + 10x + 25

c)

x² + 10 x + 10

d)

x² + 10

103.

What does it mean for two terms to be considered "like terms"

a)

They have the same number

b)

They have the same variable

c)

They have the same variable and exponent.

104.

A prime number...

a)

has one factor.

b)

has more than 2 factors.

c)

has 100 factors.

d)

has exactly 2 factors: 1 and the itself.

105.

Factor the polynomial $6x^3 + 9x^2$ using the GCF method.

a)

$3x^2(2x + 3)$

b)

$3x(2x^2 + 3x)$

c)

$6x(x^2 + 1.5x)$

d)

$x(6x^2 + 9x)$

106.

Factor the polynomial $4x^2 - 8x$ using the GCF method.

a)

$4x(x - 2)$

b)

$2x(2x - 4)$

c)

$4(x^2 - 2x)$

d)

$2(x^2 - 4x)$

107.

Factor the polynomial $3x^2 - 9x$ using the GCF method.

a)

$3x(x - 3)$

b)

$3(x^2 - 3x)$

c)

$9x(x - 1)$

d)

$x(3x - 9)$

Polynomials REVIEW

Total questions: 107

Worksheet time: 7hrs 31mins

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