document.write( "Question 286542: Write the equation of the polynomial function with the given zeros:\r
\n" ); document.write( "\n" ); document.write( "3,4,-2 \n" ); document.write( "

Algebra.Com's Answer #207825 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Since they are the zeros, then the factors are
\n" ); document.write( " $\"%28x-3%29\"$
\n" ); document.write( " $\"%28x-4%29\"$
\n" ); document.write( " $\"%28x%2B2%29\"$
\n" ); document.write( "The simplest polynomial would be the product of these three factors,
\n" ); document.write( " $\"f%28x%29=%28x-3%29%28x-4%29%28x%2B2%29\"$
\n" ); document.write( " $\"f%28x%29=%28x%5E2-7x%2B12%29%28x%2B2%29\"$
\n" ); document.write( " $\"f%28x%29=x%5E3-7x%5E2%2B12x%2B2x%5E2-14x%2B24\"$
\n" ); document.write( " $\"f%28x%29=x%5E3-5x%5E2-2x%2B24\"$
\n" ); document.write( "I leave it to you to verify that 3, 4, and -2 are still zeros for f(x).
\n" ); document.write( " \n" ); document.write( "

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