Free Printable Factoring by Common Factors

1.

What is the GCF of 18, 27, and 36?

a)

2

b)

3

c)

9

d)

18

2.

What is the GCF of 12x², 24x, and 6?

a)

6

b)

6x

c)

6x²

d)

12x²

3.

What is the GCF of 6x³, 12x², and 18x²?

a)

3x²

b)

6

c)

6x

d)

6x²

4.

$Factor\ \ 5a^4-10a^3+25a^2$

a)

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

b)

$5a\left(a^3-2a^2+5a\right)$

c)

$5a^2\left(a^2-2a+5\right)$

d)

$5a^3\left(a-2+25a^2\right)$

5.

$Factor\ \ \ \ 7x^5y^4-49x^3y^3+21x^2y$

a)

$7x^2y\left(x^3y^3-7xy^2+3\right)$

b)

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

c)

$7x^2y^2\left(x^3y^2-7xy+3x^2\right)$

d)

Prime

6.

What is the first step when factoring polynomials?

a)

Find the GCF

b)

List all the terms

c)

Make the X and fill in the top and bottom

d)

Multiply a and c

7.

What is the GCF of 18xy and 12x

a)

3

b)

3x

c)

6x

d)

2x

8.

Factor:
10x + 15

a)

100x + 150

b)

10(x + 5)

c)

1(10x + 15)

d)

5(2x + 3)

9.

Factor by using GCF:
8n³ + 2n²

a)

2n²(4n-1)

b)

2n²(4n + 1)

c)

n²(8n+2)

d)

3n(4n+1)

10.

Factor out the GCF

3x³ + 9x

a)

3x (x²+ 3)

b)

3x ( x³ + 9)

c)

x (3x² + 9)

d)

3x (x³ + 3x)

11.

Factor by GCF:
6m² + 16m

a)

2(3m² + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

12.

Factor:
10a⁴+16a+10a²

a)

2a(5a³⁺8+5a)

b)

2a⁴(5a+8a²+5a³)

c)

2a⁴(10+16a+40a²)

d)

3a³(5+8a+a²)

13.

39y⁵ + 12y⁴- 3y³

a)

3y(13y⁴ + 4y³ - y²)

b)

3y³(13y² + 4y - 1)

c)

y³(39y² + 12y - 3)

14.

63x⁴ - 7x² + 28x

a)

7x(9x² - 7 + 4x)

b)

x(63x³ - 7x + 28)

c)

7x(9x³ - x + 4)

Factoring by Common Factors

Total questions: 14

Worksheet time: 56mins

Similar Resources on Wayground