Free Printable Factoring Review

1.

Factor:
x² -17x - 60

a)

(x - 20)(x + 3)

b)

(x - 3)(x + 20)

c)

(x - 3)(x - 20)

d)

(x + 3)(x + 20)

2.

x²+10x+16

a)

(x+2)(x+8)

b)

(x-2)(x-8)

c)

(x+1)(x+16)

d)

(x+6)(x+10)

3.

Factor:
x² - 30x + 225

a)

(x + 15)²

b)

(x - 15)²

c)

(x + 25)²

d)

(x - 25)²

4.

x²- 16

a)

Prime

b)

( x - 4) ( x + 4)

c)

( x - 8) ( x + 8)

d)

( x - 4) ( x - 4)

5.

Factor:
2m² + 3m - 9

a)

2(m + 3)(m - 3)

b)

(2m - 3)²

c)

(m + 3)(2m - 3)

d)

(2m + 3)(m - 3)

6.

Factor the following trinomial:

x^2-10x+24

a)

$\left(x+6\right)\left(x-4\right)$

b)

$\left(x-6\right)\left(x+4\right)$

c)

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

d)

$\left(x+6\right)\left(x+4\right)$

7.

Factor the following trinomial:

2x^2+7x-15

a)

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

b)

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

c)

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

d)

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

8.

Factor completely:

9x^2-\frac{1}{16}

a)

$\left(3x-\frac{1}{8}\right)\left(3x+\frac{1}{8}\right)$

b)

$\left(3x-\frac{1}{4}\right)\left(3x+\frac{1}{4}\right)$

c)

$\left(3x^2-\frac{1}{8}\right)\left(3x^2+\frac{1}{8}\right)$

d)

$\left(3x^2-\frac{1}{4}\right)\left(3x^2+\frac{1}{4}\right)$

9.

Solve the following by factoring:

81a^2-49=0

a)

$a=7,\ -9$

b)

$a=\frac{7}{9},\ -\frac{7}{9}$

c)

$a=\frac{9}{7},\ -\frac{9}{7}$

d)

$a=-7,\ 9$

10.

Factor:

4x² + 64

a)

4(x² + 16)

b)

4(x - 4)(x + 4)

c)

4(x²+ 64)

d)

Prime (Not factorable)

11.

x²+ 81

a)

Prime (Not factorable)

b)

( x - 9 ) ( x + 9 )

c)

( x + 9 ) ( x + 9 )

d)

( x - 9 ) ( x - 9 )

12.

What is the first step in solving
(x + 2)(x - 3) = 0 ?

a)

Plug in zero for x

b)

Solve for x

c)

FOIL

d)

Set each binomial factor equal to zero

13.

What are the zeros?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

14.

Which equation matches these solutions? x=5,-7

a)

(x+5)(x-7)=0

b)

(x-5)(x+7)=0

c)

(x+5)(x+7)=0

d)

(x-5)(x-7)=0

15.

How are you feeling about factoring?

a)

I've got this!

b)

I need a little more practice

c)

I need a lot more practice

d)

I am totally lost

Factoring Review

Total questions: 15

Worksheet time: 26mins

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