Factoring GCF and Difference of Squares

Factor the following
12x³y⁴z²+14x⁴yz-6x⁵y⁴z²

• 2x³yz(6xy³z+7x-3x²y³z)
• 6x³yz(2y³z+2x-1x²y³z)
• 2x²y²z(6y³z+7x-3x²y³z)
• 2xyz(6x²y³z+7xyz-3x²y³z)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

w³ + 3w

• 3w(1)
• w(w² + 3)
• w³(w + 3)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is the GCF? -6x-9

• x
• -6
• -3
• 6

Tags

CCSS.7.EE.A.1

Factor:
10x + 15

• 100x + 150
• 10(x + 5)
• 1(10x + 15)
• 5(2x + 3)

Tags

CCSS.7.EE.A.1

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:
16x² + 18x + 12

• 4(4x² + 6x + 3)
• 2(8x² + 9x + 6)
• 2x(8x + 9 + 3)
• x(16x + 18 + 12)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is the GCF? 2x²-4x+8

• 2x
• 2
• x
• 1

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
 2n²-8n³

• 2n²(n-4n²)
• 2n²(1-4n)
• 2n³(10-8n²)
• 3n(1-4n)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
p² - 14p

• p(1 - 14)
• 2p(p - 7)
• p²(1-14)
• p(p - 14)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

x² - 25

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

Tags

CCSS.HSA.APR.C.4