Factoring Polynomials

Factor completely:  $5m^4+40m^2+35$  

•  $5\left(m^2+7\right)\left(m^2+1\right)$  

•  $5\left(m^2+7\right)\left(m+1\right)\left(m-1\right)$  

•  $5\left(m^2-7\right)\left(m^2+1\right)$  

•  $\left(m^2+7\right)\left(m^2+1\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely:  $5x^4-45x^2-50$  

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

•  $5\left(x^2+10\right)\left(x+1\right)\left(x-1\right)$  

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

•  $5\left(x^2+1\right)\left(x^2-10\right)$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Factor completely:  $5x^4-15x^2-140$  

•  $5\left(x^2+4\right)\left(x^2-\ 7\right)$  

•  $5\left(x^2+2\right)\left(x^2-14\right)$  

•  $5\left(x^2+14\right)\left(x^2-2\right)$  

•  $5\left(x^2+7\right)\left(x-2\right)\left(x+2\right)$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor Completely:  $u^4-8u^2+7$  

•  $\left(u^2+7\right)\left(u^2+1\right)$  

•  $\left(u^2-7\right)\left(u+1\right)\left(u-1\right)$  

•  $\left(u^2+2\right)\left(u^2-10\right)$  

• Not factorable.

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor Completely:  $108x^3-4$  

•  $4\left(3x-1\right)\left(3x+1\right)$  

•  $4\left(3x-1\right)\left(9x^2+3x+1\right)$  

•  $4\left(3x+1\right)\left(9x^2-3x+1\right)$  

•  $4\left(3x-1\right)^3$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely:  $3m^3-192$  

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

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

•  $3\left(m-4\right)^3$  

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

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely:  $64x^3-\ 27$  

•  $\left(4x+3\right)\left(16x^2-12x+9\right)$  

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

•  $\left(4x-3\right)^3$  

•  $\left(4x-3\right)\left(16x^2+12x+9\right)$  

Tags

CCSS.HSA.SSE.A.2

Factor completely:  $\left(x^3-27\right)$  

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

•  $\left(x-30\right)\left(x+3\right)$  

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

•  $\left(x-3\right)^3$  

Tags

CCSS.HSA.SSE.A.2

Factor completely:  $x^4-11x^2+30$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely:  $a^4-3a^2-54$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3