Difference of Squares Factoring

What does GCF mean?

• green colored frogs

• greatest coefficient

• greatest common factor

• greater common fraction

What is the GCF? 

 $5x^2+20x$  

• 5

• x

• 5x

• 20x

What is the GCF? 

 $3x^2-2x$  

• 3

• 3x

• x

• 2

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)

Factor by using GCF:

 $8n^3+2n^2$  

• 2n²(4n-1)

• 2n²(4n + 1)

• n²(8n+2)

• 3n(4n+1)

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)

Factor using GCF:  

 $3x^3+9x^2-15x$  

• x(3x² + 9x - 15) 

• 3x(x² + 3x - 5)

• 3x(x² - 9x + 15) 

• x(3x² -9x + 15) 

Which of these can ONLY BE factored using difference of two squares?

• 144x² - 49y²

• x² + 4x - 12

• 100x² + 20x + 1

• 14x - 16

Tags

CCSS.HSA.APR.C.4

Factor using the difference of two squares (DOTS)

 $x^2-25$  

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Prime

Tags

CCSS.HSA.APR.C.4

Fully Factor the Following (DOTS)

 $25x^2-81$  

• (5x-9)²

• (5x+9)(5x-9)

• 25(x-9)²

• (9x+5)(9x-5)

Tags

CCSS.HSA.APR.C.4