Factoring the GCF Study Guide

Factor using the GCF method
8r³ + 16r²

• 4r²(2r + 4)
• 8r²(r + 2)
• 8(r³ + r²)
• 4(r³ + 2r²)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor
10x² + 15x-5

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

Tags

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

CCSS.HSA.SSE.B.3

What is the GCF? 5x²+20x

• 5
• x
• 5x
• 20x

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor by GCF:
6m² + 16m

• 2(3m² + 8m)
• 2m(3m + 8)
• 2m(3m - 8m)
• not factorable

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor by GCF:
56a³ - 8a

• 8a²(56a³-8a)
• 8a(7a²-1)
• 8a(7a³-a)
• 8a²(35a²-a)

Tags

CCSS.HSA.APR.C.4

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

10x + 50

• 10(10x+50)
• 10(x+50)
• 10(x+5)
• Cannot be factored

Tags

CCSS.7.EE.A.1

-6y + 36

• -6 (y -6)
• 6 (y + 6)
• -6 (1)
• cannot be factored

Tags

CCSS.7.EE.A.1

9x + 3

• 9 (x+1)
• 3( 3x +1)
• 3(3x + 3)
• cannot be factored

Tags

CCSS.7.EE.A.1