5.5 Analyze Graphs of Polynomial Functions

 $2x\left(x-2\right)\left(x+1\right)$  

 $2x\left(x^2-x-2\right)$  

 $x^2-x-2$  

 $\left(x-2\right)\left(x+1\right)$  

 $\left(x^3-x\right)\left(x+2\right)$  

 $x\left(x^2-1\right)\left(x+2\right)$  

 $x\left(x+1\right)\left(x-1\right)\left(x+2\right)$  

 $x\left(x+1\right)\left(x-1\right)\left(x-2\right)$  

2

3

4

5

$y=x^4+2x^3-3x^2$

$y=x^5$

$y=x^2+2x$

$y=x^3+2x^2+1$

$y=x^4+x^3-2x^2$

$y=x^5-2x^4$

$y=3x^3+4$

$y=\left(x+1\right)\left(x-2\right)$

$y=x\left(x+2\right)$

$y=\left(x+2\right)\left(x-1\right)$

$y=x^2+3x+2$

$y=\left(x-3\right)\left(x+2\right)\left(x-1\right)$

$y=\left(x-3\right)\left(x-2\right)\left(x-1\right)$

$y=\left(x+3\right)\left(x-2\right)\left(x+1\right)$

$y=x\left(x-1\right)\left(x+2\right)\left(x+3\right)$