document.write( "Question 1039294: Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions. \r
\n" ); document.write( "\n" ); document.write( "n=3
\n" ); document.write( "-3 and 4 + 4i are zeros
\n" ); document.write( "f(-1)=82
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Algebra.Com's Answer #654187 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Real coefficients and one complex root means the complex conjugate is also a root.
\n" ); document.write( "\"f%28x%29=a%28x%2B3%29%28x-%284%2B4i%29%29%28x-%284-4i%29%29\"
\n" ); document.write( "\"f%28x%29=a%28x%2B3%29%28x%5E2-8x%2B32%29\"
\n" ); document.write( "\"f%28-1%29=a%28-1%2B3%29%281%2B8%2B32%29=82\"
\n" ); document.write( "\"a%282%29%2841%29=82\"
\n" ); document.write( "\"a=1\"
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\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=%28x%2B3%29%28x%5E2-8x%2B32%29\"
\n" ); document.write( "or\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=x%5E3-5x%5E2%2B8x%2B96\"
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