document.write( "Question 964699: Write a polynomial function of least degree with real coefficients in standard form that has zeros +4 and -4 and 3i. Thanks! \n" ); document.write( "

Algebra.Com's Answer #589529 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Real coefficients means complex roots occur in complex conjugate pairs.
\n" ); document.write( "So if $\"3i\"$ is a root, so is $\"-3i\"$ .
\n" ); document.write( " $\"f%28x%29=%28x-4%29%28x%2B4%29%28x-3i%29%28x%2B3i%29\"$
\n" ); document.write( " $\"f%28x%29=%28x%5E2-16%29%28x%5E2%2B9%29\"$
\n" ); document.write( " $\"f%28x%29=x%5E4%2B9x%5E2-16x%5E2-144\"$
\n" ); document.write( " $\"f%28x%29=x%5E4-7x%5E2-144\"$ \n" ); document.write( "

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