document.write( "Question 138662: Find the polynomial given the zeros 2,-3,1 \n" ); document.write( "

Algebra.Com's Answer #101184 by jim_thompson5910(35256) $\"\"$ $\"About$

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$\"x=2\"$ , $\"x=-3\"$ , $\"x=1\"$ Start with the given roots\r
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\n" ); document.write( "\n" ); document.write( " $\"x-2=0\"$ , $\"x%2B3=0\"$ , $\"x-1=0\"$ Get all of the terms to the left side\r
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\n" ); document.write( "\n" ); document.write( " $\"%28x-2%29%28x%2B3%29%28x-1%29=0\"$ Now use the zero product property in reverse. Remember the zero product property says that if $\"A%2AB=0\"$ then $\"A=0\"$ or $\"B=0\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"%28x%5E2%2Bx-6%29%28x-1%29=0\"$ Foil the first two terms\r
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\n" ); document.write( "\n" ); document.write( " $\"x%5E3-7x%2B6=0\"$ Expand and multiply\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So our polynomial is $\"x%5E3-7x%2B6\"$ which is in $\"ax%5E3%2Bbx%5E2%2Bcx%2Bd\"$ form where $\"a=1\"$ , $\"b=-7\"$ , $\"c=0\"$ and $\"d=6\"$ \n" ); document.write( "

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