document.write( "Question 165279: Sketch the graph for each of the following polynomial functions.
\n" ); document.write( "a. P(x)= $\"Sketch+the+graph+for+each+of+the+following+polynomial+functions.%0D%0Aa.++P%28x%29=+\"$ (x+1)(x-2)(x+3) \n" ); document.write( "

Algebra.Com's Answer #121841 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Sketch the graph for:
\n" ); document.write( " $\"P%28x%29+=+%28x%2B1%29%28x-2%29%28x%2B3%29\"$ First, you want to perform the indicated multiplication. You can do this in steps:
\n" ); document.write( " $\"highlight%28%28x%2B1%29%28x-2%29%29%28x%2B3%29+=+highlight%28%28x%5E2-x-2%29%29%28x%2B3%29\"$ = $\"x%5E3%2B2x%5E2-5x-6\"$
\n" ); document.write( "So now you have:
\n" ); document.write( " $\"P%28x%29+=+x%5E3%2B2x%5E2-5x-6\"$ and this is graphed below:
\n" ); document.write( " $\"graph%28400%2C400%2C-5%2C5%2C-10%2C5%2Cx%5E3%2B2x%5E2-5x-6%29\"$ \n" ); document.write( "

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