Factoring by GCF/Factoring by Grouping

Factoring using GCF: $3x^2-12x$  

•  $4x\left(-3\right)$  

•  $4\left(x^2-3x\right)$  

•  $4x\left(x-3\right)$  

•  $3\left(x^2-4\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor by Grouping: $5x^4+20x^3+6x+24$  

•  $\left(x+4\right)\left(5x^3+6\right)$  

•  $\left(x+4\right)\left(5x\right)$  

•  $\left(x+4\right)\left(5x+6\right)$  

•  $\left(5x^3+6\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factoring using GCF: $4x-5y$  

• 4(x-5y)

• 5(y+4x)

• 6

• GCF: 1, Can't Factor

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Factor by Grouping: $2w^3+w^2-14w-7$  

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

•  $w\left(w^2-7\right)$  
  

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

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factoring using GCF: $3x^3-12x^2+15x$  

•  $3x\left(x^2-4x+3\right)$  
  

•  $3x\left(x^2-12x+15\right)$  
  

•  $3x\left(x-4\right)$  
  

•  $x\left(3x^2-12x+15\right)$  
  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor by Grouping: $3m^3+12m^2+5m+20$  

•  $\left(m+4\right)\left(m+5\right)$  
  

•  $\left(m+4\right)\left(6m+5\right)$  
  

•  $m\left(3m^2+5\right)$  
  

•  $\left(m+4\right)\left(3m^2+5\right)$  
  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factoring using GCF: $6m^3-12m^2-24m$  

•  $6\left(m^3-2m^2-4m\right)$  
  

•  $6m\left(m^2-2m-4\right)$  
  

•  $m\left(m^2-4\right)$  
  

•  $6m\left(m^2-2\right)$  
  

Tags

CCSS.6.EE.A.3

CCSS.6.NS.B.4

Factor by Grouping:  $3x^2+5x+6xy+10y$  

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

•  $\left(3x^5+5\right)\left(4x+2y\right)$  
  

•  $3x\left(x+2y\right)$  
  

•  $\left(8x-2\right)\left(x+y\right)$  
  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factoring using GCF: $2x^3+8x^2$   

•  $x\left(2x^2+4x\right)$  
  

•  $2x\left(x+4x\right)$  
  

•  $2x\left(x^2\right)$  
  

•  $2x\left(x^2+4x\right)$  
  

Tags

CCSS.HSA.SSE.B.3

Factor by Grouping:  $3x^3-9x^2+x-3$  

•  $x\left(3x^2+1\right)$  
  

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

•  $\left(x^3-6\right)\left(x^2+1\right)$  
  

•  $\left(x-3\right)\left(6x+1\right)$  
  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3