5.3A Factoring Polynomial Expressions

Factor:

 $x^3-2x^2-15x$  

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

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

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

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

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Factor:

 $-4x^4-5x^3-3x^2-3x^3$  

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

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

•  $-x^2\left(4x^2+5x+3+3x\right)$  

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

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:

 $12x^4+27x^2-36x^3$  

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

•  $3x^2\left(4x^2+9-12x\right)$  

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

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

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:

 $12x^5+52x^4-40x^3$  

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

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

•  $4x^3\left(3x^2+13x-10\right)$  

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

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.2

Factor:

 $2x^4-450x^2$  

•  $2\left(x^2+15x\right)\left(x^2-15x\right)$  

•  $2x^2\left(x+15\right)\left(x-15\right)$  

•  $\left(x+15\right)\left(x-15\right)$  

•  $2\left(x^4-225x^2\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:

 $-81x^3+x$  

•  $Not\ factorable$  

•  $-1\left(81x^3-x\right)$  

•  $-x\left(9x+1\right)\left(9x-1\right)$  

•  $\left(9x+1\right)\left(9x-1\right)$  

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

Factor:

 $80x^6-5x^4$  

•  $5x^4\left(4x+1\right)\left(4x-1\right)$  

•  $5x^4\left(16x^2-1\right)$  

•  $5\left(16x^6-x^4\right)$  

•  $not\ factorable$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Factor:

 $x^4+x^2-6$  

•  $x^2\left(x^2+1-6\right)$  

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

•  $not\ factorable$  

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

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:

 $9x^4-6x^2+1$  

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

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

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

•  $not\ factorable$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:

 $x^4-81$  

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

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

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

• not factorable
  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3