Factoring Polynomials

When factoring the first step is

• Look for GCF

• Multiply ac

• check for factors that add to c

• look for special case you can apply

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $-6x^2+18x+420$  

•  $-6\left(x+35\right)\left(x-2\right)$  

•  $-6\left(x+7\right)\left(x-10\right)$  

•  $-6\left(x+10\right)\left(x-7\right)$  

• Not Factorable (Prime)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.B.2

CCSS.HSA.REI.B.4

Factor completely

 $x^4+5x^2-14$  
when writing your answer: No spaces; ^ before exponent, all lower case.

(a)  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $x^3-64$  is a 

• Perfect cube

• Difference of cubes

• Difference of squares

• Sum of cubes

• Prime Polynomial

Tags

CCSS.HSA.APR.C.4

Factor Completely

 $x^3-64$  

•  $\left(x-4\right)\left(3x^2+4x+16\right)$  
  

•  $\left(x+6\right)\left(x^2+3x+17\right)$  

•  $\left(x-4\right)\left(x^2+4x+16\right)$ 

•  $\left(x+4\right)\left(x^2-4x+16\right)$ 

• Prime Polynomial

Tags

CCSS.HSA.APR.C.4

Factor completely

 $x^3+2x^2-5x-10$  

•  $\left(x+1\right)\left(x^2-5\right)$  

•  $\left(x+2\right)\left(x^2-5\right)$  

•  $\left(x+2\right)\left(x^2+4\right)$  

•  $x\left(x^2-5\right)$  

•  $\left(x-2\right)\left(x^2+5\right)$  

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Factor completely (check each factor)

 $9x^2-25$  

•  $\left(x-1\right)$  

•  $\left(3x-5\right)$  

•  $-9x$  

•  $\left(3x+5\right)$  

•  $\left(9x+25\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.A.1

Factor Completely

 $x^4+x$  

•  $x\left(x+1\right)\left(x^2-x+1\right)$  
  

•  $x\left(x+1\right)\left(x^2+1\right)$  

•  $x\left(x-1\right)\left(x^2+x+1\right)$ 

•  $x\left(x+1\right)^2$ 

• Prime Polynomial

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

A factor is one component of a (a)  

Tags

CCSS.4.OA.B.4

the pattern for a sum or difference of cubes is (a)  

Tags

CCSS.HSA.SSE.A.2