Factoring & Solving

What is the GCF?
 $28p^3+16p^2+16p$  

•  $2p$  

•  $4p$  

•  $4p^2$  

•  $8p^{2\ }$  

Tags

CCSS.HSA.APR.A.1

Factor completely:
 $6a^2+48a-54$  

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

•  $6\left(a-1\right)\left(a+9\right)$  

•  $\left(6a-6\right)\left(a+9\right)$  

•  $\left(a-1\right)\left(6a-54\right)$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely:
 $r^2+r-6$  

•  $\left(r+2\right)\left(r+3\right)$  

•  $\left(r+4\right)\left(r-7\right)$  

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

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

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely:
 $2p^2-9p-18$  

•  $\left(7p+4\right)\left(p+10\right)$  

•  $\left(2p+3\right)\left(p+6\right)$  

•  $\left(2p+3\right)\left(p-6\right)$  

•  $\left(7p+8\right)\left(p+6\right)$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor out the GCF:
 $56x^2-40x+80$  

•  $8\left(7x^2-5x+10\right)$  

•  $4\left(14x^2-10x+20\right)$  

•  $8\left(7x^2-40x+80\right)$  

•  $8\left(7x^2+x-10\right)$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely:
 $9x^2-1$  

•  $\left(3x-1\right)^2$  

• Not factorable

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

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

Tags

CCSS.HSA.APR.C.4

What are the factors of
25x² - 81?

• (5x - 9)(5x + 9)
• (5x - 9)(5x - 9)
• (5x + 9)(5x + 9)
• Cannot be factored

Tags

CCSS.HSA.APR.C.4

Factor completely.
k² -2k - 24

• (k+4)(k-6)
• (k+4)(k+6)
• (k+6)(k-1)
• (k-4)(k+6)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

Factor by grouping:
3x³-x²+6x-2

• (x²+2)(3x+1)
•  (x²+2)(3x-1)
• (3x³+6x)(x²-2)
• none of the aboe

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely: x²-13x+40

• (x-5)(x-8)
• (x+5)(x+8)
• (x-4)(x-10)
• (x-2)(x-20)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3