Factoring using GCF and/or Diamond

Factor by using GCF:
8n³ + 2n²

• 2n²(4n-1)
• 2n²(4n + 1)
• n²(8n+2)
• 3n(4n+1)

Tags

CCSS.6.EE.A.3

CCSS.6.EE.A.4

CCSS.6.NS.B.4

3x³ + 9x² - 15x 

• x(3x² + 9x - 15) 
• 3x(x² + 3x - 5)
• 3x(x² - 9x + 15) 
• x(3x² -9x + 15) 

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
x² - 5x

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

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

Factor
18a²b⁴c + 24ab³c²

• 6ab³c(3ab + 4c)
• 3abc(6ab³ + 8b²c)
• 6abc(3ab³ + 4c)
• 6ab3c(3b + 4c)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor
-8x²y² + 32yz + 40y

• 8z(-x² + 4z +1)
• 8y(-4x²y² + 16yz + 20y)
• 8y(-x²y + 4z + 5)
• 4y (-2x²y + 40z + 10)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.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

Factor
a² - a - 12

• (a - 4)(a + 3)
• (a + 6)(a - 4)
• (a - 6)(a + 4)
• (a + 4)(a - 3)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor
n² + 5n - 6

• (n - 2)(n - 3)
• (n - 1)(n + 6)
• (n + 1)(n - 6)
• (n + 2)(n - 3)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely: 
3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)
• (x + 5)(x + 1)
• 3(x + 5)(x + 1)
• Prime

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely.
3x² - 9x -120

• 3(x - 8)(x + 5)
• 3(x + 8)(x - 5)
• (3x + 8)(x - 5)
• (3x - 8)(x + 5)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3