Factoring Polynomials Completely

Factor the following expression:
 $27x^2+75$  

•  $3\left(9x^2+25\right)$  

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

•  $3\left(3x+5\right)^2$  

•  $3\left(3x-5\right)^2$  

Tags

CCSS.HSA.APR.C.4

Factor the following expression:
 $x^2-9x$  

•  $x\left(x-9\right)$  

•  $x\left(x-1\right)$  

•  $x\left(x-4\right)$  

•  $\left(x+8\right)\left(x-4\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor the following expression:
 $2x^2+12x-54$  

•  $\left(x-6\right)\left(x-10\right)$  

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

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

• Not Factorable

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor the following expression:
 $4n^2+20n-24$  

•  $4\left(n-1\right)\left(n+6\right)$  

•  $4\left(n-1\right)\left(n-6\right)$  

•  $n\left(n-9\right)$  

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

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor the following expression:
 $3p^2-39p+90$  

•  $3\left(p-10\right)\left(p-3\right)$  

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

•  $3\left(p-10\right)\left(p+3\right)$  

•  $p\left(p-4\right)$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor the following expression:
 $100y^2-16$  

•  $4\left(5y+2\right)\left(5y-2\right)$  

•  $4\left(5y+4\right)^2$  

•  $4\left(25y+4\right)^2$  

•  $4\left(-5y+2\right)\left(5y-2\right)$  

Tags

CCSS.HSA.APR.C.4

Factor the following expression:
 $48x^2+24x+3$  

•  $3\left(4x+1\right)^2$  

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

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

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

Tags

CCSS.HSA.APR.C.4

Factor the following expression:
 $2m^2-18$  

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

•  $2\left(m-3\right)^2$  

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

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

Tags

CCSS.HSA.APR.C.4