document.write( "Question 765488: \"Find the third-degree polynomial function such that f(0)=18 and whosezeros are -1,2,and 3. Explain how you find it.\" \n" ); document.write( "

Algebra.Com's Answer #466260 by josgarithmetic(39617) $\"\"$ $\"About$

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The given zeros mean you have this function:\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=k%28x-3%29%28x-2%29%28x%2B1%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "Using x=0 allows you to find k.
\n" ); document.write( " $\"f%280%29=k%28-3%29%28-2%29%281%29=18\"$
\n" ); document.write( " $\"k%2A6=18\"$
\n" ); document.write( " $\"k=3\"$ \r
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\n" ); document.write( "\n" ); document.write( "Result: $\"highlight%28f%28x%29=3%28x-3%29%28x-2%29%28x%2B1%29%29\"$ \n" ); document.write( "

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