Factoring All Types

When factored completely, $x^3-9x$  is equivalent to:

•  $x\left(x-3\right)$  

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

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

•  $x\left(x+3\right)$  

Written in factored form, the trinomial $2y^2+26y+80$  is equivalent to:

•  $2\left(y-5\right)\left(y-8\right)$  

•  $\left(2y+5\right)\left(y+8\right)$  

•  $2\left(y+5\right)\left(y+8\right)$  

•  $\left(y+5\right)\left(2y+16\right)$  

Factor the trinomial completely.  $x^2-x-30$  

•  $\left(x+1\right)\left(x-30\right)$  

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

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

•  $prime$  

Factor the trinomial completely.  $x^2-6x-72$  

•  $\left(x-12\right)\left(x+6\right)$  

•  $\left(x-72\right)\left(x+1\right)$  

•  $\left(x+12\right)\left(x-6\right)$  

•  $prime$  

Factor the binomial completely.  $36-25x^2$  

•  $\left(6-5x\right)^2$  

•  $\left(6+5x\right)^2$  

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

•  $prime$  

Tags

CCSS.HSA.APR.C.4

Factor completely:

5n³-10n²+3n-6

• (5n²+3)(n-2)

• (5n²-3)(n-2)

• (5n³+3)(n-2)

• 10n(n²-6)

Factor completely:

81m² - 1 

• not factorable

• (m-9)(m+9)

• 9m(9m-1)

• (9m-1)(9m+1)

Tags

CCSS.HSA.APR.C.4

Factor completely:

3x² + 18x +15

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Cannot be factored

Factor completely:

x⁴-9x²

• x²(x+3)(x-3)

• (x²+3x)(x²-3x)

• (x²+9)(x-3)(x+3)

• x²(x²-9)

Tags

CCSS.HSA.APR.C.4

Factor completely:

x³ + 2x² - 49x - 98 

• (x² - 49) (x + 2) 

• (x² - 49) (x + 2) (x + 2) 

• (x + 7) (x - 7) (x + 2)