Free Printable Polynomials: Practice

1.

Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x²

a)

7, 24y

b)

3x, 9x

c)

3x, -9x

d)

3x, -9x, 2x²

2.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

3.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

4.

Simplify the following expression:
-10x + 15 - 3x + 2

a)

13x² + 17

b)

-13x² + 13

c)

-13x + 17

d)

-7x + 17

5.

Simplify the following expression:
-6x + 4(-x - 3)

a)

-2x - 12

b)

10x + 12

c)

-10x - 12

d)

-2x + 12

6.

Simplify the following expression:
-8 (5b + 2) -7 (b - 5)

a)

-33b + 19

b)

-47b² + 21

c)

33b - 19

d)

-47b -19

7.

Find the product:
(5n-8)(5n+8)

a)

25n²-64

b)

10n²

c)

5n²+16

d)

16

8.

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

9.

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

10.

Simplify:
(3x - 5) ( 4x² - 2x - 3)

a)

12x³ - 26x² - 25x + 15

b)

12x³ - 20x² - 5x + 15

c)

12x³ - 20x² - 6x + 15

d)

12x³ - 26x² + x + 15

11.

Reorder the following polynomial into Standard Form

( 5 is the first number, 1 is the last number)

$-x^2-15x+7x^4-6+3x^3$

a)

$+7x^4$

b)

$-6$

c)

$-x^2$

d)

$+3x^3$

e)

$-15x$

1)

2)

3)

4)

5)

12.

Problem: $4x^3+2x$

Classify the polynomial by degree: (a) & Number of Terms (b)

Choose from the below words

Third

Binomial

First

Polynomial

Trinomial

Monomial

Fourth

13.

Problem: $x^2+4x+2x+8$

Classify the polynomial by degree: (a) (b)

Combine like terms before classifying

Choose from the below words

Second

Trinomial

Third

Fourth

Fifth

Monomial

Binomial

14.

Simplify: Final Answer should be in standard form

$\left(x^3+2x^2+5\right)+\left(3x^3+4x^2-2x-1\right)$

15.

Simplify: Final Answer should be in standard form:

$\left(5x^3+6x^2-4x-1\right)-\left(2x^3-3x^2-4x+5\right)$

16.

A rectangle has width (2x + 3) and length (2x - 4).

What is the perimeter of the rectangle?

a)

$4x^2+2x-12$

b)

4x- 1

c)

8x- 2

d)

4x²- 2x - 12

e)

$8x+14$

17.

$\frac{\left(8x^4+6x^3-10x^2\right)}{2x^2}$

a)

$4x^2+3x-5$

b)

$4x^2+3x^{1.5}-5x$

c)

$6x^2+4x-12$

d)

$6x^2+4x^{1.5}-12x$

e)

$4x^2+3x-5x$

18.

$\frac{\left(x^6y^8-x^4y^6+x^2y^4\right)}{x^2y^2}$

a)

$x^4y^6-x^2y^4+y^2$

b)

$x^3y^4-x^2y^3+xy^2$

c)

$x^8y^{10}-x^6y^8+x^4y^6$

d)

$0x^4y^6-0x^2y^4+0y^2$

19.

Simplify: Final answer should be in standard form

$3x(4x^2+3x-1)$

20.

Simplify, Final answer should be in standard form

(x +2)(x + 3)

21.

Simplify: Final Answer should be in standard form

$\left(x+3\right)\left(x-6\right)$

22.

Simplify: Final answer should be in standard form

$\left(2x+1\right)\left(2x-1\right)$

23.

Simplify, Final answer should be in standard form

$(x-5)^2$

a)

$x^2+25$

b)

$x^2-25$

c)

$x^2+10x+25$

d)

$x^2-10x+25$

e)

$x^2-10x-25$

24.

A rectangle has width (2x + 3) and length (2x - 4).

What is the AREA of the rectangle?

a)

$4x^2+2x-12$

b)

4x- 1

c)

8x- 2

d)

4x²- 2x - 12

e)

$8x+14$

25.

Find the product:
(2x+3)²

a)

2x+3+2x+3

b)

4x²+12x+9

c)

4x²+9

d)

16x²+9

26.

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

a)

3y³+ 7y²- 4y + 3

b)

4y² + 3y³ - y + 3

c)

-y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

27.

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

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

28.

Multiply. (b + 3)(b²+ 2b + 1)

a)

b³+ 6b²+ 6b + 3

b)

b³+ 5b²+ 7b + 3

c)

4b³+ 8b²+ 3b

d)

3b³+ 6b²+ 3b

29.

What is the degree of the polynomial:
7x³ – 8x² + 9

a)

5

b)

2

c)

6

d)

3

30.

(5x⁴- 4x³- 2x² + x - 19) - (x⁴+ 5x³ + 8x² + x + 5)

a)

4x⁴- 9x³- 10x²- 24

b)

4x⁴- 9x³ - 10x²- 2x - 24

c)

4x⁴ - 9x³ - 10x² + 2x - 24

d)

-4x⁴ - 9x³ - 10x² - 24

31.

What is the perimeter for the given rectangle:

a)

6x³ - 9x² + 10x - 15

b)

6x² + 1x - 15

c)

6x² + 4x + 4

d)

6x³ + 1x² - 15x

32.

(2x + 3)(x² + 4x + 1)

a)

2x³ + 10x² + 14x + 4

b)

2x³ + 11x² + 14x + 3

c)

-2x³ - 11x² + 14x + 5

d)

x³ - 11x² + 14x + 3

33.

Subtract the polynomials.
(3x³ + 3x² + 5) – (x³ – 2x² + x – 4)

a)

4x³ + 5x² + 9

b)

2x³ + 5x² – x + 9

c)

2x³ + 1x – 1x² – 1

d)

2x⁶ +5x⁵ – 1x – 1

34.

What type of polynomial is
4x² - 21x + 5

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Quadranomial

35.

Simplify the expression
(x - 3)²

a)

x² - 6x + 9

b)

x² + 9

c)

x² + 6x - 9

d)

x² + 6x + 9

36.

(4x + 1)(5x − 2)

a)

20x² + 3x − 2

b)

20x² − 11x + 5

c)

20x² − 18x + 2

d)

20x² − 3x − 2

37.

(3x − 6)(7x + 7)

a)

21x² − 63x + 42

b)

21x² − 21x − 42

c)

21x² − 42

d)

21x² + 63x + 42

38.

Classify by number of terms:
3x³ – 6x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

39.

a)

A

b)

B

c)

C

d)

D

40.

a)

A

b)

B

c)

C

d)

D

41.

a)

A

b)

B

c)

C

d)

D

42.

Multiply 7x²y³ (2x⁴y⁵+ 6xy³)

a)

14x⁸y¹⁵+ 42x²y⁹

b)

9x⁶y⁸+ 13x³y⁶

c)

14x⁶y⁸+ 42x³y⁶

d)

14x⁶y⁸+ 42x²y⁶

43.

(2x+3)²

a)

2x+3+2x+3

b)

4x²+12x+9

c)

4x²+9

d)

16x²+9

44.

(2x+6)(2x-6)

a)

4x²+24x-36

b)

6x+12

c)

4x²-36

d)

2x+6+2x-6

45.

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

46.

Find the product.
(2y - 7)(3y + 5)

a)

y²+ 2y + 4

b)

6y² -11y -35

c)

-35 -11y + 6y²

d)

2y²-17y +30

47.

Simplify the following expression
(r² + s²) – (5r² + 4s²)

a)

–4r² + 5s²

b)

–4r² – 3s²

c)

–5r⁴ – 4s⁴

d)

–4r² + 3s²

48.

(x - 4)(x - 6)

a)

x² -10x + 24

b)

x² - 10x - 24

c)

x² +10x + 24

d)

x² + 10x - 24

49.

Simplify. Write your answer in standard form. (2x²- 4y + 7xy - 6y²) - (-3x²+ 5y - 4xy + y²)

a)

-5x² +9y -11xy+ 7y²

b)

-x² + y + 3xy - 5y²

c)

-x² - 9y + 11xy - 7y²

d)

5x² - 9y + 11xy - 7y

50.

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

51.

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

a)

3y³+ 7y²- 4y + 3

b)

4y² + 3y³ - y + 3

c)

-y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

52.

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

53.

(5x⁴- 4x³- 2x² + x - 19) - (x⁴+ 5x³ + 8x² + x + 5)

a)

4x⁴- 9x³- 10x²- 24

b)

4x⁴- 9x³ - 10x²- 2x - 24

c)

4x⁴ - 9x³ - 10x² + 2x - 24

d)

-4x⁴ - 9x³ - 10x² - 24

54.

Find the product:
(2x+3)²

a)

2x+3+2x+3

b)

4x²+12x+9

c)

4x²+9

d)

16x²+9

55.

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

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

56.

What is the perimeter of the rectangle?

a)

$25x^{2\ }-\ 20x$

b)

$10x-4$

c)

$20x\ -\ 8$

d)

44

57.

What is the area of the ractangle?

a)

$25x^{2\ }-\ 20x$

b)

$20x\ -\ 8$

c)

$10x\ -\ 4$

d)

44

58.

$365^0=$

a)

0

b)

1

c)

365

d)

$\frac{1}{365}$

59.

Simplify: 7p⁰

a)

7

b)

1

c)

simplified

d)

7p

60.

$7x^0\cdot\ 5x^{3\ }$

a)

$35x^3$

b)

$35x^4$

c)

$2x^3$

d)

$35x^2$

61.

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

62.

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

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

63.

Multiply using the 'FOIL' method.

( 3x + 5 ) ( 2x + 3 )

a)

6x² + 19x

b)

6x² + 15

c)

6x² + 19x + 8

d)

6x² + 19x + 15

64.

Find the product.

( 2x - 5y ) ( 3x + 4y )

a)

6x² - 7xy - 20y²

b)

6x² + 7xy - 20y²

c)

6x² - 7xy + 20y²

d)

6x² - 20y²

65.

Find the product: (3x - 2)²

a)

2x+3+2x+3

b)

9x² - 12x + 4

c)

9x² + 12x + 4

d)

16x²+ 12x + 4

66.

Multiply.
(b+3)(b²+2b+1)

a)

b³+6b²+6b+3

b)

b³+5b²+7b+3

c)

4b³+8b²+3b

d)

3b³+6b²+3b

67.

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

a)

3y³+ 7y²- 4y + 3

b)

4y² + 3y³ - y + 3

c)

-y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

68.

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

69.

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

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

70.

Find the product:
(2x+3)²

a)

2x+3+2x+3

b)

4x²+12x+9

c)

4x²+9

d)

16x²+9

71.

Multiply.
(b+3)(b²+2b+1)

a)

b³+6b²+6b+3

b)

b³+5b²+7b+3

c)

4b³+8b²+3b

d)

3b³+6b²+3b

72.

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

73.

Factor
n² + 16n + 63

a)

(n-7)(n+4)

b)

(n+7)(n-9)

c)

(n-3)(n-10)

d)

(n+7)(n+9)

74.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

75.

Factor
4n²-17n+15

a)

(n-10)(6n+1)

b)

(4n-5)(n-3)

c)

(n-5)(4n-3)

d)

(n-5)(4n+3)

76.

Factor
9x²-6x-8

a)

(3x+2)(3x-4)

b)

(3x+2)(3x+4)

c)

(3x-2)(3x-4)

d)

(x-1)(9x+8)

77.

17xy - x

a)

17(xy - x)

b)

y(17x - x)

c)

x(17y - 1)

d)

not factorable

78.

How many terms are in a binomial??!

a)

4

b)

None

c)

3

d)

2

79.

Simplify
2(4x+5)

a)

8x-10

b)

8x+10x

c)

None of the above

d)

8x+10

80.

How many terms are in trinomial??

a)

None

b)

2

c)

4

d)

3

81.

(10x+5)(x²+3)

a)

10x+5x+x²+3

b)

15x+3x²

c)

10x³+5x²+30x+15

d)

20x²+15x

82.

(5x+2)(x²-3x+6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

83.

(2x+3)²

a)

2x + 3 + 2x + 3

b)

4x²+ 12x + 9

c)

4x²+ 9

d)

16x²+ 9

84.

Simplify:

a)

-5a⁶- 5a⁴

b)

-3a³ - 1a²

c)

-2a³ - 6a²

d)

5a³ - 5a²

85.

Simplify:

a)

0

b)

-3n³ +8n

c)

-3n⁶

d)

-6n³

86.

Simplify:

a)

9n³ + 4n

b)

7n³+ 6

c)

-3n³+ 2

d)

7n⁶ + 6

87.

4a(5a²- a + 4)

a)

20a³- 4a²+ 16a

b)

20a²- 5a + 8a

c)

20a²+ 4a²+ 16a

d)

20a³+3a² + 16a

88.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

89.

What is the degree of this trinomial: 3x⁴ + 2x² + 5x ?

a)

1

b)

2

c)

3

d)

4

90.

Classify this polynomial by its degree and number of terms: x² + 2x + 6

a)

1st polynomial

b)

2nd trinomial

c)

3rd binomial

d)

3rd trinomial

91.

a)

1st Degree

b)

2nd Degree

c)

3rd Degree

d)

4th Degree

92.

Classify:
2x⁴+14x³−2x²

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

93.

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

94.

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

95.

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

96.

Multiply using the 'FOIL' method.

( 3x + 5 ) ( 2x + 3 )

a)

6x² + 19x

b)

6x² + 15

c)

6x² + 19x + 8

d)

6x² + 19x + 15

97.

Find the product.

( 2x - 5y ) ( 3x + 4y )

a)

6x² - 7xy - 20y²

b)

6x² + 7xy - 20y²

c)

6x² - 7xy + 20y²

d)

6x² - 20y²

98.

-3x + 8x² - 11 + 9x³written in standard form would be?

a)

It is already in standard form

b)

9x³ + 8x²- 3x - 11

c)

8x²+ 9x³ -11 - 3x

d)

-11 - 3x + 8x² + 9x³

99.

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

100.

Find the difference.

(7p + 4p³ - 8) - (-3p²+ 2 - 9p)

a)

-3p²+ 4p³ -15 + 9

b)

3p³ + 4p² - p + 3

c)

4p³ +3p² +16p -10

d)

4p³ +3p² + 16p + 10

101.

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

a)

3y³+ 7y²- 4y + 3

b)

4y² + 3y³ - y + 3

c)

-y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

102.

Subtract the polynomials.
(3x³ + 3x² + 5) – (x³ – 2x² + x – 4)

a)

4x³ + 5x² + 9

b)

2x³ + 5x² – x + 9

c)

2x³ + 1x – 1x² – 1

d)

2x⁶ +5x⁵ – 1x – 1

103.

(4x+1)(5x−2)

a)

20x² + 3x − 2

b)

20x² − 11x + 5

c)

20x² − 18x + 2

d)

20x² − 3x − 2

104.

(3x − 6)(7x + 7)

a)

21x² − 63x + 42

b)

21x² − 21x − 42

c)

21x² − 42

d)

21x² + 63x + 42

105.

(3x + 4y - 3z) - (2x - 6y + 7z)

a)

x + 10y - 10z

b)

-x +10y - 10z

c)

x -10y - 10z

d)

-x -10y - 10z

106.

(4x³-5x²+3x)+(-2x³-x²+6x)

a)

2x³-6x²-9x

b)

2x³+6x²+9x

c)

-2x³-6x²+9x

d)

2x³-6x²+9x

107.

(x+3)(x+1)

a)

x²+3x+3

b)

2x+4x+3

c)

x²+4x+3

d)

5x + 3

108.

(2x + 5y - z) + (-6x - 4y + 7z)

a)

-4x +6y + 6z

b)

4x + y + 6z

c)

-4x - y + 6z

d)

-4x + y + 6z

109.

(x-3)(x²+2x+7)

a)

x³-x²+x-21

b)

x³+5x+13x-21

c)

x³-3x²+7x-21

d)

x²+2x-3

110.

Divide the polynomial by the monomial.

a)

2x⁸-8x²-28x

b)

2x⁸-2x²-7x

c)

8x⁷-8x-28x

d)

2x⁷-2x -7

111.

a)

4y⁶

b)

4y²²

c)

30y⁶

d)

30y²²

112.

a)

2a²b⁶

b)

1/2a²b⁶

c)

b⁶/2a²

d)

2b⁶/a²

113.

(x − 3)(6x − 2)

a)

6x² − 20x + 6

b)

6x² + 20x - 6

c)

6x² +6

d)

6x + 6

114.

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

a)

3y³+ 7y²- 4y + 3

b)

4y² + 3y³ - y + 3

c)

-y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

115.

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

116.

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

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

117.

(5x⁴- 4x³- 2x² + x - 19) - (x⁴+ 5x³ + 8x² + x + 5)

a)

4x⁴- 9x³- 10x²- 24

b)

4x⁴- 9x³ - 10x²- 2x - 24

c)

4x⁴ - 9x³ - 10x² + 2x - 24

d)

-4x⁴ - 9x³ - 10x² - 24

118.

What is the perimeter of the rectangle?

a)

$25x^{2\ }-\ 20x$

b)

$10x-4$

c)

$20x\ -\ 8$

d)

44

119.

What is the area of the rectangle?

a)

$25x^{2\ }-\ 20x$

b)

$20x\ -\ 8$

c)

$10x\ -\ 4$

d)

44

120.

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

121.

Name the following polynomial using the degree and number of terms.
-4a² + a - 10

a)

4th Binomial

b)

1st Trinomial

c)

2nd Trinomial

d)

2nd Binomial

122.

(8u³ + 2u² + 7) + (3u³ – 7u + 8)

a)

5u³ – 7u² + 2u – 15

b)

11u³ + 2u² – 7u + 15

c)

15 – 7u + 2u² + 11u³

d)

5u³ + 2u² – 7u + 15

123.

2x (-2x-3)

a)

-4x - 3

b)

x² - 3

c)

-4x² - 6x

d)

-4x - 6

124.

(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

125.

(3- 2x + 2x²) - (4x -5 +3x²)

a)

x² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

126.

2n(n² + 3n + 4)

a)

2n³ + 6n² + 8n

b)

2n³ + 3n + 4

c)

2n³ + 6n + 8

d)

n² + 5n + 4

127.

(5h - 3)(3h+7)

a)

15h²- 44h + 21

b)

15h²- 26h + 21

c)

15h²+ 44h - 21

d)

15h²+ 26h - 21

128.

(2x – 6)²

a)

4x² – 24x + 36

b)

4x² – 8x + 36

c)

4x² + 36

d)

4x² – 12x + 36

129.

8x³ ÷ 2x

a)

4

b)

4x

c)

4x²

d)

none of these

130.

24x³ - 16x² ÷ - 8x

a)

3x² + 2x

b)

-3x² - 2x

c)

-3x² + 2x

d)

3x² - 2x

131.

Classify by degree and number of terms: 4m² + 9

a)

4th, binomial

b)

3rd, trinomial

c)

4th, binomial

d)

2nd, trinomial

132.

Classify by degree and number of terms: 8a⁴ + 4a² -7a+ 1

a)

4th, trinomial

b)

3rd, binomial

c)

1st, polynomial

d)

4th polynomial

133.

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

134.

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

135.

Determine the product of (3c)(10c)

a)

13c²

b)

30c

c)

30c²

d)

13c

136.

Simplify the expression.
2x(-2x - 3)

a)

-4x - 3

b)

x² - 3

c)

-4x² - 6x

d)

-4x - 6

137.

$\frac{6x^2+12x}{3x}$

a)

2x + 4

b)

2x + 4x

c)

2 + 4x

d)

2x² + 4x

138.

$\frac{-20p^2\ -\ 16p}{-4p}$

a)

5p²- 16p

b)

5p + 4

c)

5p - 4

d)

5p + 4p

139.

Find the perimeter of the rectangle

a)

P= 10x + 2

b)

P= 12x

c)

P = 12

d)

P = 6x² + 3x

140.

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

141.

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

142.

Multiply.
(b+3)(b²+2b+1)

a)

b³+6b²+6b+3

b)

b³+5b²+7b+3

c)

4b³+8b²+3b

d)

3b³+6b²+3b

143.

Simplify each expression.
(6x + 4x⁴ - 3x²) + (7x⁴ + 5x² + 8x)

a)

11x⁴ + 2x² + 14x

b)

16x⁴ + x² + 14x

c)

11x⁴ + x² + 14x

d)

11x⁴ + 2x² + 10x

144.

(2x - 1)(x + 2)

a)

2x² + 3x - 2

b)

2x² - 5x - 2

c)

2x² + 3x + 2

d)

2x² - 5x + 2

145.

(4x+1)(5x−2)

a)

20x² + 3x − 2

b)

20x² − 11x + 5

c)

20x² − 18x + 2

d)

20x² − 3x − 2

146.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

147.

Simplify the following expression:
-6x + 4(-x - 3)

a)

-2x - 12

b)

10x + 12

c)

-10x - 12

d)

-2x + 12

148.

Simplify:
(3x - 5) ( 4x² - 2x - 3)

a)

12x³ - 26x² - 25x + 15

b)

12x³ - 20x² - 5x + 15

c)

12x³ - 20x² - 6x + 15

d)

12x³ - 26x² + x + 15

149.

a)

a

b)

b

c)

c

d)

d

150.

a)

a

b)

b

c)

c

d)

d

151.

a)

a

b)

b

c)

c

d)

d

152.

a)

a

b)

b

c)

c

d)

d

153.

a)

a

b)

b

c)

c

d)

d

154.

a)

a

b)

b

c)

c

d)

d

155.

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

156.

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

157.

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

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

158.

Find the product:
(x + 7)²

a)

x²+ 7x + 7x + 49

b)

x²+ 7x + 7

c)

7x²+ x + 7

d)

x² + 14x + 49

159.

Multiply.
(b+3)(b²+2b+1)

a)

b³+6b²+6b+3

b)

b³+5b²+7b+3

c)

4b³+8b²+3b

d)

3b³+6b²+3b

160.

Simplify each expression.
(6x + 4x⁴ - 3x²) + (7x⁴ + 5x² + 8x)

a)

11x⁴ + 2x² + 14x

b)

16x⁴ + x² + 14x

c)

11x⁴ + x² + 14x

d)

11x⁴ + 2x² + 10x

161.

(2x - 1)(x + 2)

a)

2x² + 3x - 2

b)

2x² - 5x - 2

c)

2x² + 3x + 2

d)

2x² - 5x + 2

162.

(4x+1)(5x−2)

a)

20x² + 3x − 2

b)

20x² − 11x + 5

c)

20x² − 18x + 2

d)

20x² − 3x − 2

163.

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

164.

(5x⁴- 4x³- 2x² + x - 19) - (x⁴+ 5x³ + 8x² + x + 5)

a)

4x⁴- 9x³- 10x²- 24

b)

4x⁴- 9x³ - 10x²- 2x - 24

c)

4x⁴ - 9x³ - 10x² + 2x - 24

d)

-4x⁴ - 9x³ - 10x² - 24

165.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

166.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

167.

Simplify the following expression:
-10x + 15 - 3x + 2

a)

13x² + 17

b)

-13x² + 13

c)

-13x + 17

d)

-7x + 17

168.

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

169.

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

170.

Simplify:
(3x - 5) ( 4x² - 2x - 3)

a)

12x³ - 26x² - 25x + 15

b)

12x³ - 20x² - 5x + 15

c)

12x³ - 20x² - 6x + 15

d)

12x³ - 26x² + x + 15

171.

Find the product: (3r - 4)(7r - 5)

a)

21r²- 43r + 20

b)

21r + 43r²+ 9

c)

7r + 12r

d)

r + 2r

172.

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

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

Polynomials: Practice

Total questions: 172

Worksheet time: 9hrs 36mins

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