Factoring & Solving Polynomials Using the GCF (Week #7)

GCF of 12 and 18

• 3
• 4
• 6
• 2

Tags

CCSS.6.NS.B.4

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

What is the GCF? 3x²-2x

• 3
• 3x
• x
• 2

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.7.EE.A.1

Factor by using GCF:
8n³ + 2n²

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

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor by using GCF:
10x² + 15x-5

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

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Fill in the purple box that correctly factors the polynomial using GCF.

Fill in the purple box with the monomial that correctly factors the polynomial using GCF.

• 2x²

• 11x²

• 22x

• 11x

Find the error and correct it. You should mark two answers

• The greatest common factor is not 5x. It is 15x

• When factoring the polynomial, there should be three terms inside the parenthesis.

• It is not in standard form

• Corrected answer: $15x\left(x^2+2x+3\right)$

• Corrected answer: $5x\left(3x^2+2x+1\right)$

Write the polynomial in standard form and then factor using GCF.

 $14x^2+10x^4-18x^3$  

•   $2x^2\left(7+5x^2-9x\right)$  

•  $2x\left(5x^3-9x^2+7x\right)$  

•  $2x^2\left(5x^2-9x+7\right)$  

•  $2x\left(7x+5x^3-9x^2\right)$