GCF/Grouping Review

Factor out the GCF:

16x² + 24x

• 2 (8x² + 12x)

• 4x (4x + 6)

• 6x (2x + 4)

• 8x (2x + 3)

Factor By Grouping:
20x² + 16x + 30x + 24

• (5x + 4)(4x + 6)
• (5x² + 3)(4x + 6)

Factor by Grouping:
15x³ - 12x² + 10x - 8

• (5x - 4)(3x + 5)
• (5x - 4)(3x² + 2)

Factor Completely
5x³-7x²

• x²(5x-7)
• x(5x²-7x)
• x³(5-7x)
• Prime

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
24c⁵ - 12c³

• 6(4c⁵ - 2c³)
• 12c³(2c²)
• 12c³(2c² - 1)
• 12c³(2c² - 0)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor by GCF:
17xy - x

• 17(xy - x)
• y(17x - x)
• x(17y - 1)
• not factorable

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Factor by grouping
x³ - 4x² -4x + 16

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor by GCF:

18a²-15a

• 15a(3a-1)

• 3a(6a-1)

• 3(6a-5)

• 3a(6a-5)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor by GCF

12x + 9

• 3(4x + 3)

• x(12+9)

• 3(4x - 3)

• not factorable

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor by grouping

x³ - 4x² -4x + 16

• (x+4)(x+2)

• (x-4)(x-2)(x+2)

• (x+4)(x² -4)

• (x-4)(x-2)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3