document.write( "Question 951473: How would I take T(x) = x^4+2x^3 and find the factors or x-intercepts in order to be able to graph it?\r
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Algebra.Com's Answer #581057 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+T%28x%29+=+x%5E4%2B2x%5E3\"$ ...to find the factors or x-intercepts, first set $\"+T%28x%29+=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"++x%5E4%2B2x%5E3=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+x%5E3%28+x%2B2%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( "x-intercepts:\r
\n" ); document.write( "\n" ); document.write( "if $\"+x%5E3=0\"$ , then we have three same solutions $\"x=0\"$ \r
\n" ); document.write( "\n" ); document.write( "if $\"+%28+x%2B2%29=0\"$ then $\"x=-2\"$ \r
\n" ); document.write( "\n" ); document.write( "to graph it, make a table:\r
\n" ); document.write( "\n" ); document.write( " $\"x\"$ | $\"T%28x%29\"$
\n" ); document.write( " $\"-3\"$ | $\"25\"$ ...... $\"+T%28-3%29+=+%28-3%29%5E4%2B2%28-3%29%5E3=81-56=25\"$
\n" ); document.write( " $\"-2\"$ | $\"0\"$
\n" ); document.write( " $\"-1\"$ | $\"-1\"$ ...... $\"+T%28-1%29+=+%28-1%29%5E4%2B2%28-1%29%5E3=1-2=-1\"$
\n" ); document.write( " $\"0\"$ | $\"0\"$
\n" ); document.write( " $\"1\"$ | $\"3\"$ ...... $\"+T%281%29+=+1%5E4%2B2%281%29%5E3=1%2B2=3\"$
\n" ); document.write( " $\"2\"$ | $\"32\"$ ...... $\"+T%282%29+=+2%5E4%2B2%282%29%5E3=16%2B16=32\"$ \r
\n" ); document.write( "\n" ); document.write( "plot all points and draw a line through\r
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