Factor/Sketch Practice of Polynomials

Factor/Sketch Practice of Polynomials

SWBAT sketch a graph of a polynomial function in factored form.

Show all of your work on a separate sheet of paper.

Multiple Choice

Factor the following polynomial?

 $f\left(x\right)=3x^3-3x^2-18x$  

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

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

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

•  $\left(x+6\right)\left(x-9\right)$  

Multiple Choice

Factor the following polynomial?

 $f\left(x\right)=x^3+4x^2+4x$  

•  $x\left(x+1\right)\left(x+4\right)$  

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

•  $x^2\left(x+4\right)$  

•  $x\left(x+2\right)^2$  

Open Ended

What are the zeros to the function?

 $f\left(x\right)=2x\left(x+11\right)\left(x+3\right)$  

Multiple Choice

Which graph could represent the graph of the function  $f\left(x\right)=-x\left(x-2\right)\left(x+4\right)\ ?$  

Multiple Choice

Which graph could represent the graph of the function  $f\left(x\right)=\left(x+7\right)\left(x-1\right)\left(x+7\right)\ ?$  

Poll

Using a 1-5 scale, how do you rate yourself on the following:

I am able to sketch a polynomial using a sign chart?

• 1 -Need more practice

• 2

• 3

• 4

• 5- I got this!