Factoring Polynomials Using GCF and Difference of Squares

Which of the following expressions are examples of DOTS (Difference of Two perfect Squares)?

Tags

CCSS.HSA.APR.C.4

Factor Completely:
x² - 36

• (x + 9)(x - 4)
• (x - 6)(x - 6)
• (x - 9)(x + 4)
• (x + 6)(x - 6)

Tags

CCSS.HSA.APR.C.4

What is the first question you ask yourself when factoring a polynomial?

• How many terms does it have?

• Is there a GCF?

• Have I completed all of my Algebra assignments this nine weeks?

• How long is this going to take?!?!?!

Factor completely.

121x² - 49

• ( 11x - 7 ) ²

• ( 11x - 7 ) ( 11x - 7 )

• ( 11x + 7 ) ( 11x - 7 )

• ( 12x + 7 ) ( 12x - 7 )

Tags

CCSS.HSA.APR.C.4

factor completely 
81m² - 1 

• not factorable
• (m-9)(m+9)
• 9m(9m-1)
• (9m-1)(9m+1)

Tags

CCSS.HSA.APR.C.4

Factor:

5x² - 45

• 5( x - 3) ( x + 3)

• 5( x + 3) ( x + 3)

• Does not factor (prime)

• ( x - 3) ( x + 3)

Tags

CCSS.HSA.APR.C.4

Factor by using GCF:

8n³ + 2n²

• 2n²(4n-1)

• 2n²(4n + 1)

• n²(8n+2)

• 3n(4n+1)

Tags

CCSS.HSA.APR.C.4

Factor:

x² - 400

• ( x - 200) ( x + 200)

• ( x + 20) ( x + 20)

• Does not factor (prime)

• ( x - 20) ( x + 20)

Tags

CCSS.HSA.APR.C.4