SOLUTION: Sketch the graph for each of the following polynomial functions. a. P(x)= {{{(x+1)(x-2)(x+3)

Algebra ->  Rational-functions -> SOLUTION: Sketch the graph for each of the following polynomial functions. a. P(x)= {{{(x+1)(x-2)(x+3)      Log On


   

Question 165279: Sketch the graph for each of the following polynomial functions.
a. P(x)= Sketch+the+graph+for+each+of+the+following+polynomial+functions.%0D%0Aa.++P%28x%29=+(x+1)(x-2)(x+3)
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Sketch the graph for:
P%28x%29+=+%28x%2B1%29%28x-2%29%28x%2B3%29 First, you want to perform the indicated multiplication. You can do this in steps:
highlight%28%28x%2B1%29%28x-2%29%29%28x%2B3%29+=+highlight%28%28x%5E2-x-2%29%29%28x%2B3%29=x%5E3%2B2x%5E2-5x-6
So now you have:
P%28x%29+=+x%5E3%2B2x%5E2-5x-6 and this is graphed below:
graph%28400%2C400%2C-5%2C5%2C-10%2C5%2Cx%5E3%2B2x%5E2-5x-6%29