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Worksheets

Mixed Factoring Review

Total questions: 20

Worksheet time: 2hrs 40mins

Name
Class
Date
1.
Factor by GCF:
4b+ 4b+ 16b2
a)
4b3(b4+b2+4b)
b)
4b3(b4+4b+5)
c)
4(b5+b3+4b2)
d)
4b2(b3+b+4)
2.

What is the GCF of the trinomial?

6x5y4 + 24x6y2 - 36x3y3

a)

6x3y2

b)

6xy

3.

Factor by greatest common factor

39y5 + 12y- 3y3

a)

3y(13y4 + 4y3 - y2)

b)

3y3(13y2 + 4y - 1)

c)

y3(39y2 + 12y - 3)

4.
Challenge:
Find the GCF of 9u3v4w and 15u2v2w2
a)
9u2v2w
b)
9u3v4w2
c)
3u3v4w2
d)
3u2v2w
5.
Factor:
v2 + 3v - 88
a)
(v + 11)(v - 8)
b)
(v + 22)(v - 4)
c)
(v + 8)(v - 11)
d)
(v - 22)(v + 4)
6.

Find the factors of

x2 - 5x - 36

a)

(x + 4)(x - 9)

b)

(x - 4)(x + 9)

c)

(x - 9)(x + 6)

d)

(x + 4)(x + 9)

7.

Find the factors of

3b2 + 17b + 20

a)

(2b - 5)(b - 7)

b)

(5b - 7)(b - 2)

c)

(b + 5)(3b + 4)

d)

(3b + 5)(b + 4)

8.

Factor completely.

2x23x142x^2-3x-14  

a)

(x+7)(2x3)\left(x+7\right)\left(2x-3\right)  

b)

(2x+2)(x7)\left(2x+2\right)\left(x-7\right)  

c)

(2x7)(x+2)\left(2x-7\right)\left(x+2\right)  

d)

(x14)(x+1)\left(x-14\right)\left(x+1\right)  

9.
Factor Completely: 5x2-11x+6
a)
(5x+6)(x-1)
b)
(5x-6)(x-1)
c)
(2x-7)(x-3)
d)
(5x-6)(x+1)
10.

Find the factors of

2b2 + 14b - 16

a)

2(b - 1)(b + 8)

b)

6(b - 1)(b - 5)

c)

2(b + 1)(b - 8)

d)

2(b - 1)(b - 8)

11.

Find the factors of

5m2 - 45m + 90

a)

3(m + 1)(m + 8)

b)

5(m - 3)(m - 6)

c)

2(m - 7)(m + 3)

d)

5(m - 5)(m + 3)

12.

Factor Completely.
4x2+24x644x^2+24x-64  

a)

4(x+8)(x2)4\left(x+8\right)\left(x-2\right)  

b)

4(x2+6x16)4(x^2+6x-16)  

c)

4(x2+24x16)4\left(x^2+24x-16\right)  

d)

4(x8)(x+2)4\left(x-8\right)\left(x+2\right)  

13.
Factor completely: 
3x2 + 18x +15
Hint: Factor GCF first.
a)
3(x2 + 6x + 5)
b)
(x + 5)(x + 1)
c)
3(x + 5)(x + 1)
d)
Prime
14.

Factor 9c2 - 100.

a)

(c - 10)(c + 10)

b)

(3c - 10)(3c + 10)

c)

(9c + 100)(9c - 100)

d)

(9c - 10)(9c + 10)

15.

Factor 16r2 - 196.

a)

(4r - 13)(4r + 13)

b)

(8r + 14)(8r - 14)

c)

(4r - 14)(4r + 14)

d)

(8r - 13)(8r + 13)

16.

Find the factors of 25x2 - 81y2.

a)

(5x - 9)(5x + 9)

b)

(5x + 9y)(5x - 9y)

c)

(5x2 + 9)(5x2 - 9)

17.
Factor 4y2 – 9.
a)
(2y + 3)(2y – 3)
b)
prime
c)
(2y + 3)(2y + 3)
d)
(2y – 3)(2y – 3)
18.
Factor
k2+7x+10
a)
(k+2)(k+5)
b)
(k-2)(k-5)
c)
(k+10)(k+4)
d)
(k+2)(k-5)
19.

Factor d2 - 7d - 18

a)

(d - 9)(d + 2)

b)

(d - 6)(d - 1)

c)

(d - 9)(d - 2)

d)

(d + 9)(d - 2)

20.

Factor
3a2+4a+13a^2+4a+1  

a)

(7a10)(a8)(7a-10)(a-8)  

b)

Prime (Not factorable)

c)

(3a+1)(a+1)(3a+1)(a+1)  

d)

(3a1)(a1)(3a-1)(a-1)