Factoring Practice

What is the first step when factoring polynomials?

• Find the GCF

• List all the terms

• Make the X and fill in the top and bottom

• Multiply a and c

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)
• 5x(2x² - 3)
• 5(2x³ - 3x)
• 5x²(10x - 3)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
x² + 7x - 30

• (x + 10)(x - 7)
• (x - 10)(x + 3)
• (x + 10)(x + 3)
• (x + 10)(x - 3)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely: 25x²+60x+36

• (25x-6)(x-1)
• (5x-6)(5x-6)
• (5x+6)²
• (25x+4)(x+9)

Tags

CCSS.HSA.APR.C.4

Factor completely: 2x²+22x+60

• (2x+10)(x+6)
• (x+5)(x+6)
• 2(x+1)(x+30)
• 2(x+5)(x+6)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely: -5x²+30x-40

• -5(x-2)(x-4)
• (x-2)(x-4)
• -(5x-8)(x-5)
• (5x+10)(x+4)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

Factor by grouping:
3x³-x²+6x-2

• (x²+2)(3x+1)
•  (x²+2)(3x-1)
• (3x³+6x)(x²-2)
• none of the aboe

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor
81m² - 1 

• not factorable
• (m-9)(m+9)
• 9m(9m-1)
• (9m-1)(9m+1)

Tags

CCSS.HSA.APR.C.4

Factor Completely:
4x² + 64

• 4(x² + 16)
• 4(x - 4)(x + 4)
• 4(x² + 64)
• Prime

Tags

CCSS.HSA.APR.C.4

Factor: 8x³ - 1

• (2x - 1)(4x² + 2x + 1)
• (2x + 1)(4x² - 2x + 1)
• (2x - 1)(4x² - 2x - 1)
• (2x + 1)(4x² +2x + 1)

Tags

CCSS.HSA.APR.C.4