Factoring: GCF & Difference of Two Squares

What does GCF mean?

• green colored frogs

• greatest coefficient

• greatest common factor

• greater common fraction

Tags

CCSS.6.NS.B.4

What is the GCF? 

 $5x^2+20x$  

• 5

• x

• 5x

• 20x

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

What is the GCF? 

 $3x^2-2x$  

• 3

• 3x

• x

• 2

Tags

CCSS.HSA.SSE.B.3

Factor using GCF:

 $x^2-5x$  

Remember: Write your answer as GCF(Quotient)

• 1(x - 5)

• x(x - 5x)

• x(x - 5)

• x²(1 - 5)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

Factor using GCF:

 $10x+15$  

• 100x + 150

• 10(x + 5)

• 1(10x + 15)

• 5(2x + 3)

Tags

CCSS.7.EE.A.1

Factor by using GCF:

 $8n^3+2n^2$  

• 2n²(4n-1)

• 2n²(4n + 1)

• n²(8n+2)

• 3n(4n+1)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

Factor by using GCF:

 $8n^3+2n^2$  

• 2n²(4n-1)

• 2n²(4n + 1)

• n²(8n+2)

• 3n(4n+1)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

Factor by using GCF:

 $10x^2+15x-5$  
Remember that the answer should be written as GCF(quotient)

• 25(10x³ + 45x - 15)

• 5(2x³ + 3x² - x)

• x(10x³ + 15x - 5)

• 5(2x² + 3x - 1)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

Factor using GCF:  

 $3x^3+9x^2-15x$  

• x(3x² + 9x - 15) 

• 3x(x² + 3x - 5)

• 3x(x² - 9x + 15) 

• x(3x² -9x + 15) 

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:

 $80x^5-70x^2-60x^7$  

• 2x²(80x³-70-60x⁶)

• 10x²(80x⁴-70x-60x⁶)

• 10x²(8x³-7-6x⁵)

• 3x²(80x³-40-60x⁵)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.A.1