Free Printable 0.26 - Factoring Polynomials Review

1.

Factor the trinomial

$x^2+9x+20$

a)

$\left(x+4\right)\left(x+5\right)$

b)

$\left(x+2\right)\left(x+10\right)$

c)

$\left(x+1\right)\left(x+20\right)$

d)

Not factorable

2.

Factor the trinomial. Do not type spaces.

$x^2+13x+12$

(a)

3.

Factor the trinomial. Do not type spaces.

$x^2+8x+12$

(a)

4.

Factor the trinomial. Do not type spaces.

$x^2+7x+12$

(a)

5.

Factor the trinomial. Do not type spaces.

$x^2+x-12$

(a)

6.

Factor the trinomial. Do not type spaces.

$x^2-x-12$

(a)

7.

Factor the trinomial. Do not type spaces.

$x^2-11x-12$

(a)

8.

Factor the trinomial. Do not type spaces.

$x^2+11x-12$

(a)

9.

Factor the trinomial. Do not type spaces.

$x^2-7x+12$

(a)

10.

Factor the trinomial. Do not type spaces.

$x^2+8x+15$

(a)

11.

Factor the trinomial. Do not type spaces.

$x^2-8x+15$

(a)

12.

Factor the trinomial. Do not type spaces.

$x^2-2x-15$

(a)

13.

Factor the trinomial. Do not type spaces.

$x^2+2x-15$

(a)

14.

Factor the trinomial. Do not type spaces.

$x^2+12x+20$

(a)

15.

Factor the trinomial. Do not type spaces.

$x^2-12x+20$

(a)

16.

Factor the trinomial. Do not type spaces.

$x^2-8x-20$

(a)

17.

Factor the trinomial. Do not type spaces.

$x^2+8x-20$

(a)

18.

Match the following

a)

$x^2+25x+24$

1.

(x+1)(x+24)

b)

$x^2+14x+24$

2.

(x+2)(x+12)

c)

$x^2+11x+24$

3.

(x+3)(x+8)

d)

$x^2+10x+24$

4.

(x+4)(x+6)

e)

$x^2+250x+24$

5.

not factorable

19.

Match the following

a)

$x^2+7x-18$

1.

(x-2)(x+9)

b)

$x^2-7x-18$

2.

(x+2)(x-9)

c)

$x^2-300x-18$

3.

not factorable

d)

$x^2-17x-18$

4.

(x+1)(x-18)

e)

$x^2+17x-18$

5.

(x-1)(x+18)

20.

Match the following

a)

$x^2+8x+15$

1.

(x+3)(x+5)

b)

$x^2-8x+15$

2.

(x-3)(x-5)

c)

$x^2-16x+15$

3.

(x-1)(x-15)

d)

$x^2+16x+15$

4.

(x+1)(x+15)

e)

$x^2-123x+15$

5.

not factorable

21.

Match the following

a)

$x^2-7x+10$

1.

(x-2)(x-5)

b)

$x^2+7x+10$

2.

(x+2)(x+5)

c)

$x^2-3x-10$

3.

(x+2)(x-5)

d)

$x^2+3x-10$

4.

(x-2)(x+5)

e)

$x^2-70x+10$

5.

not factorable

22.

Match the following

a)

$x^2-25$

1.

(x+5)(x-5)

b)

$x^2+25$

2.

not factorable

c)

$x^2+10x+25$

3.

(x+5)(x+5)

d)

$25-x^2$

4.

(5+x)(5-x)

e)

$x^2+26x+25$

5.

(x+25)(x+1)

23.

Match the following

a)

$x^2-121$

1.

(x+11)(x-11)

b)

$121-x^2$

2.

(11+x)(11-x)

c)

$x^2+121$

3.

not factorable

d)

$x^2+22x+121$

4.

(x+11)(x+11)

e)

$x^2-22x+121$

5.

(x-11)(x-11)

24.

Match the following

a)

$x^2-9$

1.

(x+3)(x-3)

b)

$9-x^2$

2.

(3+x)(3-x)

c)

$x^2+9$

3.

not factorable

d)

$x^2+6x+9$

4.

(x+3)(x+3)

e)

$x^2-6x+9$

5.

(x-3)(x-3)

25.

Match the following

a)

$x^2-81$

1.

(x+9)(x-9)

b)

$81-x^2$

2.

(9+x)(9-x)

c)

$x^2+81$

3.

not factorable

d)

$x^2+18x+81$

4.

(x+9)(x+9)

e)

$9x^2+81x$

5.

9x(x+9)

26.

Factor GCF

$30x^6+24x^5-18x^4$

27.

Factor GCF

$8x^5+9x^4+11x^3$

28.

Factor GCF

$7x^8+x^6+4x^5$

29.

Factor GCF

$12x^2+8x+16$

30.

Factor GCF

$30x^2+20x+70$

31.

Factor GCF

$24x^5+12x^4+18x$

32.

Simplify

$5x\left(3x^2+4x-9\right)$

33.

Simplify

$3\left(5x^2-6x\right)-7\left(2x-3\right)$

34.

Simplify

$7x\left(4x-5\right)-8\left(2x-9\right)$

35.

Factor

$y^2-16$

a)

$\left(y+4\right)\left(y-4\right)$

b)

$\left(y+4\right)\left(y+4\right)$

c)

$\left(y+2\right)\left(y+8\right)$

d)

$\left(4+y\right)\left(4-y\right)$

e)

not factorable

36.

Factor

$y^2+8y+16$

a)

$\left(y+4\right)\left(y-4\right)$

b)

$\left(y+4\right)\left(y+4\right)$

c)

$\left(y+2\right)\left(y+8\right)$

d)

$\left(y+1\right)\left(y+16\right)$

e)

Not factorable

37.

Factor Difference of Squares

$25x^2-36$

Do not type spaces.

(a)

38.

Factor Difference of Squares

$x^2-81$

Do not type spaces

(a)

39.

Factor out the GCF

$12x^5-18x^4$

40.

Match the following

a)

$x^2-25$

1.

(x+5)(x-5)

b)

$x^2+25$

2.

not factorable

c)

$16x^2-25$

3.

(4x-5)(4x+5)

d)

$25-x^2$

4.

(5+x)(5-x)

e)

$9x^2-25$

5.

(3x+5)(3x-5)

41.

Match the following

a)

$x^2-121$

1.

(x+11)(x-11)

b)

$121-x^2$

2.

(11+x)(11-x)

c)

$x^2+121$

3.

not factorable

d)

$36x^2-121$

4.

(6x+11)(6x-11)

e)

$22x+121$

5.

11(2x+11)

42.

Factor the trinomial

$x^2+90x+20$

a)

$\left(x+4\right)\left(x+5\right)$

b)

$\left(x+2\right)\left(x+10\right)$

c)

$\left(x+1\right)\left(x+20\right)$

d)

Not factorable

43.

Factor

$y^2+16$

a)

$\left(y+4\right)\left(y-4\right)$

b)

$\left(y+4\right)\left(y+4\right)$

c)

$\left(y+2\right)\left(y+8\right)$

d)

$\left(4+y\right)\left(4-y\right)$

e)

not factorable

44.

Factor

$y^2+800y+16$

a)

$\left(y+4\right)\left(y-4\right)$

b)

$\left(y+4\right)\left(y+4\right)$

c)

$\left(y+2\right)\left(y+8\right)$

d)

$\left(y+1\right)\left(y+16\right)$

e)

Not factorable

45.

Factor.

$30x^6+24x^5-18x^4$

46.

Factor

$8x^5+9x^4+11x^3$

47.

Factor

$7x^8+x^6+4x^5$

48.

Factor

$12x^2+8x+16$

49.

Factor

$30x^2+20x+70$

50.

Factor

$24x^5+12x^4+18x$

51.

Factor

$16x^7+32x^5+24x^3$

52.

Factor

$12x^6+9x^4-15x^2$

53.

Simplify

$\left(4x^2+5x-10\right)-\left(x^2+3x-7\right)$

54.

Simplify

$\left(9x^3-4x^2-8x\right)-\left(2x^3-7x^2-17x\right)$

55.

Simplify

$5x\left(3x^2+4x-9\right)$

56.

Simplify

$3\left(5x^2-6x\right)-7\left(2x-3\right)$

57.

Simplify

$7x\left(4x-5\right)-8\left(2x-9\right)$

58.

Factor

$y^2-16$

a)

$\left(y+4\right)\left(y-4\right)$

b)

$\left(y+4\right)\left(y+4\right)$

c)

$\left(y+2\right)\left(y+8\right)$

d)

$\left(4+y\right)\left(4-y\right)$

e)

not factorable

59.

Factor

$y^2+8y+16$

a)

$\left(y+4\right)\left(y-4\right)$

b)

$\left(y+4\right)\left(y+4\right)$

c)

$\left(y+2\right)\left(y+8\right)$

d)

$\left(y+1\right)\left(y+16\right)$

e)

Not factorable

60.

Factor.

$25x^2-36$

Do not type spaces.

(a)

61.

Factor

$x^2-81$

Do not type spaces

(a)

62.

What is the answer to b?

a)

i

b)

ii

c)

iii

d)

iv

e)

v

63.

What is the answer to a?

a)

i

b)

ii

c)

iii

d)

iv

e)

v

64.

What is the answer to d?

a)

i

b)

ii

c)

iii

d)

iv

e)

v

65.

What is the answer to e?

a)

i

b)

ii

c)

iii

d)

iv

e)

v

66.

What is the answer for b?

a)

i

b)

ii

c)

iii

d)

iv

e)

v

67.

What is the answer for e?

a)

i

b)

ii

c)

iii

d)

iv

e)

v

68.

What is the answer for d?

a)

i

b)

ii

c)

iii

d)

iv

e)

v

69.

Factor

$9-x^2$

Do not type spaces.

(a)

70.

Factor out the GCF

$12x^5-18x^4$

71.

Factor out the GCF.

$25x^7-30x^5+15x$

72.

Match the following

a)

$x^2-25$

1.

(x+5)(x-5)

b)

$x^2+25$

2.

not factorable

c)

$16x^2-25$

3.

(4x-5)(4x+5)

d)

$25-x^2$

4.

(5+x)(5-x)

e)

$9x^2-25$

5.

(3x+5)(3x-5)

73.

Match the following

a)

$x^2-121$

1.

(x+11)(x-11)

b)

$121-x^2$

2.

(11+x)(11-x)

c)

$x^2+121$

3.

not factorable

d)

$36x^2-121$

4.

(6x+11)(6x-11)

e)

$22x+121$

5.

11(2x+11)

74.

Match the following

a)

$x^2-9$

1.

(x+3)(x-3)

b)

$9-x^2$

2.

(3+x)(3-x)

c)

$x^2+9$

3.

not factorable

d)

$15x^2-9x$

4.

3x(5x-3)

e)

$15x+9$

5.

3(5x+3)

75.

Match the following

a)

$x^2-81$

1.

(x+9)(x-9)

b)

$81-x^2$

2.

(9+x)(9-x)

c)

$x^2+81$

3.

not factorable

d)

$4x^2-81$

4.

(2x-9)(2x+9)

e)

$9x^2+81x$

5.

9x(x+9)

76.

Simplify

$\left(x+3\right)\left(x+4\right)$

a)

$x^2+7x+12$

b)

$x^2+4x+3x+12$

c)

$x^2+12$

d)

$x^2+7x+7$

e)

$2x+7$

77.

Simplify

$\left(x+3\right)+\left(x+4\right)$

a)

$x^2+7x+12$

b)

$x^2+4x+3x+12$

c)

$x^2+12$

d)

$x^2+7x+7$

e)

$2x+7$

78.

Simplify

$\left(2x-5\right)+\left(2x-5\right)$

Use the ^ button for exponents. Do not type spaces.

(a)

79.

Simplify

$\left(3x+7\right)\left(4x-5\right)$

a)

$12x^2+13x-35$

b)

$12x^2-15x+28x-35$

c)

$25x^3-35$

d)

$12x^2+43x-35$

80.

Simplify

$\left(4x^2+3\right)\left(2x+9\right)$

a)

$8x^2+42x+27$

b)

$8x^3+36x^2+6x+27$

c)

$50x^6+27$

d)

$6x^2+12$

81.

Find the missing side if the perimeter is

40x+19

(a)

82.

Simplify

$\left(4x-5\right)\left(6x-7\right)$

Use the ^ button for exponents. Do not type spaces.

(a)

83.

Simplify

$\left(3x^2+7\right)\left(4x-5\right)$

(a)

84.

Find the area of the larger rectangle. Use the ^ button for exponents. Do not type spaces.

(a)

85.

Find the perimeter of the larger rectangle. Use the ^ button for exponents. Do not type spaces.

(a)

86.

Find the perimeter of the smaller rectangle. Use the ^ button for exponents. Do not type spaces.

(a)

87.

Find the area of the smaller rectangle. Use the ^ button for exponents. Do not type spaces.

(a)

88.

Find the missing side length if the perimeter of the triangle is $8x^2+10x+21$ . Use the ^ button for exponents. Do not type spaces.

(a)

89.

Simplify

$\left(7x^2+5x-9\right)-\left(4x^2+3x-8\right)$

Use the ^ button for exponents. Do not type spaces.

(a)

90.

Simplify

$\left(4x+7\right)+\left(3x^2-5x-9\right)$

Use the ^ button for exponents. Do not type spaces.

(a)

91.

Simplify

$8x\left(3x^2+4x\right)+5\left(6x-7\right)$

Use the ^ button for exponents. Do not type spaces.

(a)

92.

Simplify

$9x\left(3x^2-10\right)+5\left(6x+7\right)$

Use the ^ button for exponents. Do not type spaces.

(a)

93.

Find the area of the shaded region. Use the ^ button for exponents. Do not type spaces.

(a)

94.

Simplify.

$6x\left(3x^2+4x\right)-5x\left(7x-2\right)$

Use the ^ button for exponents. Do not type spaces.

(a)

95.

Simplify

$4x\left(6x-3\right)-9\left(8x-5\right)$

Use the ^ button for exponents. Do not type spaces.

(a)

96.

Simplify

$3x\left(5x-6\right)-4\left(7x-2\right)$

Use the ^ button for exponents. Do not type spaces.

(a)

97.

Simplify

$6x\left(4x-7\right)-2\left(8x-5\right)$

Use the ^ button for exponents. Do not type spaces.

(a)

98.

Simplify

$5x^2\left(9x-3\right)+4\left(6x+7\right)$

Use the ^ button for exponents. Do not type spaces.

(a)

99.

Simplify

$2x\left(7x^2+8x\right)+4\left(5x+9\right)$

Use the ^ button for exponents. Do not type spaces.

(a)

100.

Find the area of the shaded region. Use the ^ button for exponents. Do not type spaces.

(a)

101.

Simplify

$\left(13w^2+7w+8\right)-\left(4w^2+5w+2\right)$ Use the ^ button for exponents. Do not type spaces.

(a)

102.

Simplify

$\left(6x^2+5x-3\right)-\left(4x^2-7x-10\right)$

a)

$2x^2+12x+7$

b)

$2x^2-2x+7$

c)

$2x^2+12x-13$

d)

$2x^2-2x+13$

103.

Find the perimeter of the figure. Use the ^ button for exponents. Do not type spaces.

(a)

104.

Find the perimeter of the triangle. Use the ^ button for exponents. Do not type spaces.

(a)

105.

Simplify

$\left(6x^2-8x-13\right)-\left(2x^2-5x-7\right)$

Use the ^ button for exponents. Do not type spaces.

(a)

0.26 - Factoring Polynomials Review

Total questions: 105

Worksheet time: 59mins

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