Factoring

Factoring

GCF, a=1, AC Method

Multiple Choice

Factor by using GCF:
8n³ + 2n²

• 2n²(4n-1)
• 2n²(4n + 1)
• n²(8n+2)
• 3n(4n+1)

Multiple Choice

Factor:
x² - 5x

• 1(x - 5)
• x(x - 5x)
• x(x - 5)
• x²(1 - 5)

Multiple Choice

What is the GCF? 2x²-4x+8

• 2x
• 2
• x
• 1

Multiple Choice

What is the GCF of 18k and 15k³

• 3k²
• 3k³
• 3k
• 5k

Multiple Choice

What is the GCF? 5x²+20x

• 5
• x
• 5x
• 20x

Multiple Choice

Factor completely:
 $12x^3-40x^2$  

•  $\left(2x-7\right)\left(x-9\right)$  

•  $4x\left(3x+10\right)$  

•  $4x^2\left(3x+10\right)$  

•  $x^2\left(12x-40\right)$  

•  $4x^2\left(3x-10\right)$  

Multiple Choice

Find the GCF:
 $8x^2+16x-12$  

• 2

• 4

• 6

• 8

Multiple Choice

What is the GCF?
 $28p^3+16p^2+16p$  

•  $2p$  

•  $4p$  

•  $4p^2$  

•  $8p^{2\ }$  

Multiple Choice

Factor out the GCF:
 $18x^6+16x^3+14x$  

•  $2x\left(16x^5+14x^2+12\right)$  

•  $2x\left(18x^5+16x^2+14\right)$  

•  $2x^2\left(9x^4+8x^2+7x\right)$  

•  $2x\left(9x^5+8x^2+7\right)$  

Multiple Choice

Factor completely:
 $x^2+2x+1$  

•  $\left(x+4\right)^2$  

•  $\left(x+1\right)^2$  

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

•  $\left(x-4\right)^2$  

Multiple Choice

Factor completely:
 $x^2-8x+15$  

•  $\left(x-1\right)\left(x-15\right)$  

•  $\left(x+1\right)\left(x-15\right)$  

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

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

Multiple Choice

Factor completely:
 $x^2-7x+12$  

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

•  $\left(x-2\right)\left(x-6\right)$  

•  $\left(x-1\right)\left(x-12\right)$  

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

Multiple Choice

Factor completely:
 $r^2+r-6$  

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

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

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

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

Multiple Choice

Factor completely:
 $9r^2+12r+4$  

•  $\left(9r-2\right)\left(9r+2\right)$  

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

•  $\left(3r+2\right)^2$  

•  $\left(9r+2\right)^2$  

Multiple Choice

Factor completely:
 $5x^2+24x-36$  

• not factorable

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

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

•  $5\left(n-6\right)^{2\ }$  

Multiple Choice

Factor completely:
 $5x^2-12x+7$  

• Not factorable

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

•  $\left(7n-3\right)\left(n-6\right)$  

•  $\left(5n-8\right)\left(7n+8\right)$  

Multiple Choice

Factor completely:
 $7x^2-4x-3$  

•  $7\left(x+3\right)\left(x+1\right)$  

•  $\left(x+3\right)\left(7x-1\right)$  

•  $\left(7x+3\right)\left(x+1\right)$  

•  $\left(7x+3\right)\left(x-1\right)$  

Multiple Choice

Factor completely:
 $2x^2-6x-108$  

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

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

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

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

Multiple Choice

Factor completely:
 $2p^2-9p-18$  

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

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

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

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

Multiple Choice

Factor completely
 $2p^2-34p+144$  

• 4p(p-4)

• (p-8)(p+10)

• 2(p-8)(p-9)

• 2(p-8)(p+9)

Multiple Choice

Factor completely:
 $6a^2+48a-54$  

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

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

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

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

Multiple Choice

Factor completely:
 $9x^2-1$  

•  $\left(3x-1\right)^2$  

• Not factorable

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

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