document.write( "Question 369473: I need help with this problem
\n" ); document.write( "Construct a polynomial function with the stated properties
\n" ); document.write( "Third degree, only real coefficients, -4 and 4+4i are two of the zeros, y-intercept is -68 \n" ); document.write( "

Algebra.Com's Answer #263280 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Since $\"x=4%2B4i\"$ is a root, then so is $\"x=4-4i\"$ since complex roots only come in complex conjugate pairs.
\n" ); document.write( " $\"f%28x%29=a%28x%2B4%29%28x-%284%2B4i%29%29%28x-%284-4i%29%29\"$
\n" ); document.write( " $\"f%28x%29=a%28x%2B4%29%28x%5E2-8x%2B32%29\"$
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\n" ); document.write( " $\"f%280%29=a%284%29%2832%29=-68\"$
\n" ); document.write( " $\"a%28128%29=-68\"$
\n" ); document.write( " $\"a=-%2868%2F128%29=-17%2F32\"$
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\n" ); document.write( " $\"highlight%28f%28x%29=-%2817%2F32%29%28x%2B4%29%28x%5E2-8x%2B32%29%29\"$ \n" ); document.write( "

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