Free Printable Factoring Polynomials

1.

Factor by GCF:

$4r^2+2r^{ }$

a)

$r^{ }\left(4r^2+2\right)$

b)

$2r^{ }\left(2r^{ }+1\right)$

c)

There is no GCF

2.

Factor by GCF: $x^2-8x$

a)

x(x-8)

b)

8x(x-1)

c)

$8\left(x^2+x\right)$

d)

NA

3.

Factor by GCF: $5x+10$

a)

$5\left(x+10\right)\left(x-10\right)$

b)

$5\left(x+10\right)$

c)

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

d)

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

4.

Factor by GCF:
10a⁴+16a+10a²

a)

2a(5a³⁺8+5a)

b)

2a⁴(5a+8a²+5a³)

c)

2a⁴(10+16a+40a²)

d)

3a³(5+8a+a²)

5.

Factor: 30x²+15x + 18x + 9

a)

(5x²- 3)(6x + 1)

b)

(5x + 9)(2x + 1)

c)

3(5x²+3)(2x-1)

d)

(15x + 9)(2x + 1)

6.

Which is a factor of 12r² + 20r + 15r + 25? Choose all answers that apply.

a)

3r + 5

b)

r + 5

c)

4r + 5

d)

4r + 3

7.

Factor:

4p² + 8p + 3p + 6

a)

(2p²+3)(p+2)

b)

(2p²+6)(p+4)

c)

(4p+3)(p+2)

d)

(4p²+8p)(3p+6)

8.

What is the factored form of 35x² + 5x + 56x + 8

a)

(5x + 8)(7x + 1)

b)

(5x + 7)(x + 1)

c)

(5x² + 8)(7x + 1)

d)

5x (7x² + x + 7x + 1)

9.

Factor by Diamond Method: $x^2+7x+12$ =( (a) )( (b) )

*Write with the largest number first.

Choose from the below words

x+12

x-3

x-4

x+4

x+3

10.

Factor by Diamond Method:
3x² + 5x - 12

a)

(3x + 4)(x-3)

b)

(3x - 4)(x + 3)

c)

(3x + 3)(x -4)

d)

(3x - 3)(x + 4)

Factoring Polynomials

Total questions: 10

Worksheet time: 30mins

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