Factoring Polynomials

Greatest Common Factor

100

What is the GCF of:

4 and 16

4

200

What is the GCF of:

15 and 24

3

300

What is the GCF of:

6x³ and 20x

2x

400

What is the GCF of:

25x⁴yz⁵ and 55yz³ 

5yz³ 

500

What is the GCF of:

7y³z and 32x²y

y

a is equal to 1

100

Find the factors of:

x² + 5x + 4

(x+1) (x+4)

200

Find the factors of:

x² + 11x + 18

(x+2) (x+9)

300

Find the factors of:

x² - 11x + 24

(x-3) (x-8)

400

Find the factors of:

x² + x - 42

(x-6) (x+7)

500

Find the factors of: 

x² + 16xy + 55y²

(x+5y) (x+11y)

a is not equal to 1

100

Find the factors of:

2x² + 3x + 1

(2x+1) (x+1)

200

Find the factors of:

4x² + 11x + 6

(4x+3) (x+2)

300

Find the factors of:

-3x² - 14x + 5

(-3x+1) (x+5)  OR  (3x-1) (-x-5)

400

Find the factors of:

6x² + 11x - 10

(2x+5) (3x-2)

500

Find the factors of:

-8x² + 30x - 7

(-2x+7) (4x-1)  OR  (2x-7) (-4x+1)

Perfect Squares

100

Find the factors of:

x² + 6x + 9

(x+3)²  OR  (x+3) (x+3)

200

Find the factors of:

x² - 16x + 64

(x-8)²  OR  (x-8) (x-8)

300

Find the factors of:

x² + 14xy + 49y²

(x+7y)²  OR  (x+7y) (x+7y)

400

Find the factors of:

9x² + 12x + 4

(3x+2)²  OR  (3x+2) (3x+2)

500

Find the factors of:

25x² - 60x + 36

(5x-6)²  OR  (5x-6) (5x-6)

Difference of Two Squares

100

Find the factors of:

x² - 4

(x-2) (x+2)

200

Find the factors of:

x² - 25

(x-5) (x+5)

300

Find the factors of:

4x² - 81

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

400

Find the factors of:

9x² - 49

(3x-7) (3x+7)

500

Find the factors of:

121x² - 144

(11x-12) (11x+12)