Factoring Polynomials Using All Steps of Factoring

Factor completely

 $a^2+8a+7$  

•  $\left(a+8\right)\left(a+7\right)$  

•  $\left(a+1\right)\left(a+7\right)$  

•  $\left(a+4\right)\left(a+3\right)$  

•  $\left(a+5\right)\left(a+2\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely

  $16b^2-9$  

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

•  $\left(4b+9\right)\left(4b-1\right)$  

•  $\left(4b+5\right)\left(4b-4\right)$  

•  $\left(4b+7\right)\left(4b-2\right)$  

Tags

CCSS.HSA.APR.C.4

Factor completely

 $12c^3-21c^2+28c-49$  

•  $\left(3c+7\right)\left(4c+7\right)$  

•  $\left(3c+7\right)\left(4c-7\right)$  

•  $\left(3c^2+7\right)\left(4c+7\right)$  

•  $\left(3c^2+7\right)\left(4c-7\right)$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Factor completely

 $2d^2+6d-108$  

•  $2\left(d+6\right)\left(d+9\right)$  

•  $2\left(d+6\right)\left(d-9\right)$  

•  $2\left(d-6\right)\left(d+9\right)$  

• cannot factor
  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely

 $x^2-4x+24$  

•  $\left(x-4\right)\left(x-6\right)$  

•  $\left(x-3\right)\left(x-8\right)$  

•  $\left(x-2\right)\left(x-12\right)$  

• cannot factor
  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely

 $x^2-11x+24$  

•  $\left(x-4\right)\left(x-6\right)$  

•  $\left(x-3\right)\left(x-8\right)$  

•  $\left(x-2\right)\left(x-12\right)$  

• cannot factor
  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

Factor completely

 $6x^2+4x-10$  

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

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

•  $2\left(x-1\right)\left(3x+5\right)$  

• cannot factor
  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely

 $3x^2+33x+30$  

•  $3\left(x+1\right)\left(x+10\right)$  

•  $3\left(x+2\right)\left(x+5\right)$  

•  $3\left(x+3\right)\left(x+10\right)$  

• cannot factor
  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely

 $3x^4-27$  

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

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

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

• cannot factor
  

Tags

CCSS.HSA.APR.C.4

Factor completely

 $12x^3+2x^2-30x-5$  

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

•  $\left(2x^2-5\right)\left(6x+1\right)$  

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

• cannot factor
  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3