Factoring

Factor:
x² + 7x - 30

• (x + 10)(x - 7)
• (x - 10)(x + 3)
• (x + 10)(x + 3)
• (x + 10)(x - 3)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor x²-2x-15

• (x+5)(x-3)
• (x-5)(x-3)
• (x-5)(x+3)
• (x+5)(x+3)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor
n² + 5n - 6

• (n - 2)(n - 3)
• (n - 1)(n + 6)
• (n + 1)(n - 6)
• (n + 2)(n - 3)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor
r² -16r + 60

• (r - 15)(r + 4)
• (r - 6)(r + 10)
• (r - 6)(r - 10)
• (r +30)(r - 2)

Tags

CCSS.HSA.APR.A.1

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 completely:
 $7x^2-4x-3$  

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

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

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

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

•  $2x\left(16x^5+14x^2+12\right)$  

•  $2x\left(18x^5+16x^2+14\right)$  

•  $2x^2\left(9x^4+8x^2+7x\right)$  

•  $2x\left(9x^5+8x^2+7\right)$  

Tags

CCSS.HSA.SSE.B.3

Factor completely:
 $5x^2-12x+7$  

• Not factorable

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

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

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

Tags

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.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely:
 $12r^3-40r^2$  

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

•  $4x\left(3x+10\right)$  

•  $4x^2\left(3x+10\right)$  

•  $x^2\left(12x-40\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3