4.4 Factoring Polynomials

Factor the GCF:

 $10x^2+15x-5$  

•  $25\left(10x^3+45x-15\right)$  

•  $5\left(2x^3+3x^2-x\right)$  

•  $x\left(10x^3+15x-5\right)$  

•  $5\left(2x^2+3x-1\right)$  

Factor the GCF
4b⁵+4b³+16b²

• 4b³(b⁴+b²+4b)
• 4b³(b⁴+4b+5)
• 4(b⁵+b³+4b²)
• 4b²(b³+b+4)

Factor by Reverse FOIL

k²+7x+10

• (k+2)(k+5)

• (k-2)(k-5)

• (k+10)(k+4)

• (k+2)(k-5)

Factor the Quadratic Trinomial by Grouping

3v² - 4v - 7

• (3v-7)(v+1)

• 3(v-7)(v-1)

• (3v+1)(v-9)

• (3v+1)(v-10)

Factor by grouping:
3x³-x²+6x-2

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

Factor using Reverse FOIL:

 $x^2-7x-8$  

•  $\left(x+1\right)\left(x-8\right)$ 

•  $\left(x+1\right)\left(x+8\right)$  

•  $5\left(x+4\right)\left(x+5\right)$ 

•  $\left(x-1\right)\left(x+8\right)$  

Factor the Quadratic Trinomial by Grouping

 $5x^2-11x+6$  

• (5x+6)(x-1)

• (5x-6)(x-1)

• (2x-7)(x-3)

• (5x-6)(x+1)

Factor by grouping
x³ - 4x² -4x + 16

• (x+4)(x+2)
• (x-4)(x² -4) 
• (x+4)(x² -4)
• (x-4)(x-2)

Factor by grouping:

 $x^3+7x^2-2x-14$  

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

•  $\left(x^2+2\right)\left(x-7\right)$ 

•  $\left(x^2+2\right)\left(x+7\right)$ 

•  $\left(x^2-2\right)\left(x+7\right)$ 

Factor the Cubic Binomial.

 $x^3-125$  

•  $\left(x+25\right)\left(x-25\right)$  

•  $\left(x-5\right)\left(x^2+5x+25\right)$  

•  $\left(x+5\right)\left(x^2+25x-25\right)$  

•  $\left(x-5\right)\left(x^2-x+25\right)$