Factoring mixed review

Factor  $x^2-169$  

•  $(x-13)(x+13)$  

•  $(x+13)(x+13)$  

•  $(x-13)(x-13)$  

• Prime (Not Factorable)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor
 $x^2+9x-36$  

•  $(x+12)(x-3)$  

•  $(x+9)(x-4)$  

•  $(x-12)(x+3)$  

•  $(x-9)(x-4)$  

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
 $p^2-14p$  

•  $p(1-14)$  

•  $2p(p-7)$  

•  $p^2(1-14)$  

•  $p(p-14)$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is the greatest common factor?

 $14x^2y-20xy^3$  

• 7xy

•  $14x^2y$  

• 2xy

• there is no GCF

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Factor completely: 
3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)
• (x + 5)(x + 1)
• 3(x + 5)(x + 1)
• Prime

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Two step factor:

2n²+16n+14

• 2n(n²+24n+7)

• 2(n²+8n+7)

• 2n(n²+8n+7)

• 2(n+1)(n+7)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

49x² - 121

• (7x - 11)²
• (7x + 11)²
• (7x - 11)(7x + 11)
• (7x - 121)(7x + 121)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group

n² + 1

• (n + 1) (n - 1)

• (n - 1) (n - 1)

• (n +1) (n + 1)

• Can't factor using Diff. of Squares

Tags

CCSS.HSA.SSE.A.2

Factor.
r² - 16r + 60

• (r - 15)(r + 4)
• (r - 6)(r + 10)
• (r - 6)(r - 10)
• (r +30)(r - 2)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.B.3