document.write( "Question 838075: Math Question: Find a polynomial function f(x) of degree 3 with real coefficients that has zeros of -1,2,and 4 and f(1)=3. \n" ); document.write( "

Algebra.Com's Answer #504907 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"f%28x%29=a%28x%2B1%29%28x-2%29%28x-4%29\"$ }
\n" ); document.write( "That satisfies the three zeros.
\n" ); document.write( "Now use the value to solve for $\"a\"$ .
\n" ); document.write( " $\"f%281%29=a%281%2B1%29%281-2%29%281-4%29=3\"$
\n" ); document.write( " $\"a%282%29%28-1%29%28-3%29=3\"$
\n" ); document.write( " $\"6a=3\"$
\n" ); document.write( " $\"a=1%2F2\"$
\n" ); document.write( " $\"highlight_green%28f%28x%29=%281%2F2%29%28x%2B1%29%28x-2%29%28x-4%29%29\"$ \n" ); document.write( "

\n" );