Factoring Polynomials

What is the GCF? 12x+8

• 12
• 8
• 4
• x

Tags

CCSS.7.EE.A.1

Factor completely using GCF:

16x² - 20xy

• 4 (4x² - 5xy)

• 4x (4x - 5y)

• 4x² (4 - 5y)

• 2(duck)

What is the first step in factoring this problem?

x² - 5x - 36

• Multiply

• List the factors of -36

• Add the factors of -36

• Factor out the GCF

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Find the factors of

5k² - 18k + 9

• (5k - 3)(k - 3)

• (3k + 5)(k - 10)

• (2k - 1)(k + 6)

• (5k + 7)(k + 6)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is the first step in factoring this problem?

5k² - 18k + 9

• List the factors of 9

• Multiply

• Factor out the GCF

• List the factors of 45

Tags

CCSS.HSA.SSE.A.2

Factor completely using trinomial factoring:

y² - 7y + 12

• (y - 3) (y - 4)

• (y + 3) (y - 4)

• (y + 3) (y + 4)

• (y - 2) (y - 6)

Factor completely using trinomial factoring:

2x² + 7x + 6

• (2x - 3) (x - 2)

• (2x + 3) (x + 2)

• (x + 3) (2x + 2)

• prime

Factor completely using difference of perfect squares:

4x² - 121

• (2x + 11) (11 - 2x)

• (2x - 11) (2x - 11)

• (2x + 11) (2x + 11)

• (2x + 11) (2x - 11)

What is the first step in factoring this problem?

x² + x - 6

• Multiply

• List the factors of -6

• Add the factors of -6

• Factor out the GCF

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely by grouping:

x³+7x²-2x-14

• (x²-2)(x-7)

• (x²+2)(x-7)

• (x²+2)(x+7)

• (x²-2)(x+7)