Graphing and Factoring Polynomials

Find all of the solutions for the polynomial below. Select all that apply.

 $f\left(x\right)=x^3-3x^2-6x+8$  

•  $x=4$  

•  $x=1$  

•  $x=-4$  

•  $x=-1$  

•  $x=-2$  

Find all of the solutions for the polynomial below. Select all that apply.

 $f\left(x\right)=x^3+5x^2-4x-20$  

•  $x=-5$  

•  $x=-4$  

•  $x=-2$  

•  $x=2$  

•  $x=5$  

Tags

CCSS.HSF-IF.C.7C

Find all of the solutions for the polynomial below. Select all that apply.

 $f\left(x\right)=x^4-x^3-7x^2+x+6$  

•  $x=-3$  

•  $x=-2$  

•  $x=-1$  

•  $x=1$  

•  $x=3$  

Find all of the solutions for the polynomial below. Select all that apply.

 $f\left(x\right)=x^4-5x^3-x^2+5x$  

•  $x=0$  

•  $x=1$  

•  $x=5$  

•  $x=-5$  

•  $x=-1$  

Tags

CCSS.HSF-IF.C.7C

Find all of the solutions for the polynomial below. Select all that apply.

 $f\left(x\right)=2x^3+8x^2-18x-72$  

•  $x=-4$  

•  $x=-3$  

•  $x=-2$  

•  $x=2$  

•  $x=3$  

Tags

CCSS.HSF-IF.C.7C

Find all of the solutions for the polynomial below. Select all that apply.

 $f\left(x\right)=2x^3-x^2-16x+15$  

•  $x=\frac{2}{5}$  

•  $x=\frac{5}{2}$  

•  $x=-3$  

•  $x=1$  

•  $x=3$  

Find all of the solutions for the polynomial below. Select all that apply.

 $f\left(x\right)=10x^3-49x^2-8x+15$  

•  $x=-\frac{3}{5}$  

•  $x=-\frac{1}{6}$  

•  $x=\frac{1}{2}$  

•  $x=\frac{1}{5}$  

•  $x=5$  

Factor the polynomial below completely.  Select all of the factors.

 $f\left(x\right)=x^3-3x^2-6x+8$  

•  $\left(x-4\right)$  

•  $\left(x-1\right)$  

•  $\left(x+4\right)$  

•  $\left(x+1\right)$  

•  $\left(x+2\right)$  

Tags

CCSS.HSA.APR.B.2

Factor the polynomial below completely.  Select all of the factors.

 $f\left(x\right)=x^3+5x^2-4x-20$  

•  $\left(x+5\right)$  

•  $\left(x+4\right)$  

•  $\left(x+2\right)$  

•  $\left(x-2\right)$  

•  $\left(x-5\right)$  

Tags

CCSS.HSA.APR.B.2

Which of the following represents the complete factorization of the polynomial below

 $f\left(x\right)=2x^3+8x^2-18x-72$  

•  $\left(2x-6\right)\left(x+3\right)\left(x+4\right)$  

•  $\left(2x+6\right)\left(x-3\right)\left(x+4\right)$  

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

•  $2\left(x-3\right)\left(x+3\right)\left(x+4\right)$  

•  $\left(2x+8\right)\left(x-3\right)\left(x+3\right)$