Factoring Test Review

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group

Factor Completely:
-3x - 15

• -3 (x+ 5)
• 3 (x + 5)
• -3 (x -5)

Tags

CCSS.7.EE.A.1

Factor Completely:

5x² - 10x

• (x - 2)(x - 10)

• 5(x² - 2x)

• 5x(x - 2)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor by using GCF:
10x² + 15x-5

• 25(10x³+45x-15)
• 5(2x³ + 3x²-x)
• x(10x³+15x-5)
• 5(2x²+3x-1)

x² - 25

• ( x + 5 ) ( x - 5 ) 
• ( x - 5 ) ( x - 5 ) 
• ( x + 25 ) ( x - 25 ) 
• Prime

Tags

CCSS.HSA.APR.C.4

4x² - 25y²

• Prime
• ( 2x - 5) (2x + 5) 
• ( 4x - 5y) (4x - 5y) 
• ( 2x - 5y) (2x + 5y) 

Tags

CCSS.HSA.APR.C.4

Fully Factor the Following
4x²-16

• (2x-4)(2x+4)
• (4x-4)(4x+4)
• 4(x-2)²
• 4(x-2)(x+2)

Tags

CCSS.HSA.APR.C.4

x³-5x²+5x-25

• (x²-5)(x-5)
• (x²+5)(x-5)
• (x²+5)(x+5)
• (x²-1)(x-25)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

20x³-25x²+4x-5

• (5x²-5)(4x+1)
• 5(x²-1)(4x+5)
• (5x²+1)(4x-5)
• (5x²+1)(4x-1)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Factor
x² + 9x - 36

• (x + 12)(x - 3)
• (x + 9)(x - 4)
• (x - 12)(x + 3)
• (x - 9)(x - 4)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.REI.B.4