Factoring Cubics & Quartics

Factor

 $x^{3\ }-\ 27$  

•  $\left(x-3\right)\left(x^{2\ }+3x+9\right)$  

•  $\left(x+3\right)\left(x^{2\ }+3x+9\right)$  

•  $\left(x-3\right)\left(x^{2\ }-3x+9\right)$  

Tags

CCSS.HSA.SSE.A.2

Factor

 $x^{3\ }+\ 27$  

•  $\left(x-3\right)\left(x^{2\ }+3x+9\right)$  

•  $\left(x+3\right)\left(x^{2\ }-3x+9\right)$  

•  $\left(x-3\right)\left(x^{2\ }-3x+9\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor

 $8x^{3\ }+1$  

•  $\left(8x+1\right)\left(x^{2\ }+x+1\right)$  

•  $\left(2x+1\right)\left(4x^{2\ }+x+1\right)$  

•  $\left(2x+1\right)\left(4x^{2\ }-2x+1\right)$  

Tags

CCSS.HSA.SSE.A.2

Factor

 $27-8x^{3\ }$  

•  $\left(3-2x\right)\left(9+6x+4x^2\right)$  

•  $\left(3-2x\right)\left(9+6x-4x^2\right)$  

•  $\left(3+2x\right)\left(9+6x+4x^2\right)$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Jason is factoring a "sum of cubes" problem. His first factor is

 $\left(x-5\right)$ , what is the second factor?

•  $\left(x^{2\ }+\ 5\right)$  

•  $\left(x^{2\ }+5x\ +25\right)$  

•  $\left(x^{2\ }+5x\ -25\right)$  

Tags

CCSS.HSA.SSE.A.2

Factor completely

 $x^{4\ }-\ 4x^{2\ }+3$  

•  $\left(x-1\right)\left(x+1\right)\left(x^2-3\right)$  

•  $\left(x+1\right)\left(x+1\right)\left(x^2-3\right)$  

•  $\left(x^2+1\right)\left(x^2-3\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor 

 $x^{4\ }+5x^{2\ }+4$  

•  $\left(x^2-1\right)\left(x^{2\ }+\ 4\right)$  

•  $\left(x^2-1\right)\left(x^{2\ }-\ 4\right)$  

•  $\left(x^2+1\right)\left(x^2+4\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely

 $x^{4\ }-\ 10x^{2\ }+\ 9$  

•  $\left(x^2+1\right)\left(x^{2\ }+\ 9\right)$  

•  $\left(x+1\right)\left(x-1\right)\left(x^{2\ }+\ 9\right)$  

•  $\left(x+1\right)\left(x-1\right)\left(x-3\right)\left(x+3\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor

 $x^{3\ }+\ 4x^{2\ }+\ 9x+36$  

•  $\left(x^2-9\right)\left(x+4\right)$  

•  $\left(x^2+9\right)\left(x+4\right)$  

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

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor

 $2x^{3\ }+\ 3x^{2\ }-\ 26x-39$  

•  $\left(x^2-13\right)\left(2x+3\right)$  

•  $\left(x^2+13\right)\left(2x+3\right)$  

•  $\left(x^2-13\right)\left(2x+3\right)\left(2x-3\right)$  

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3