document.write( "Question 317254: Find an nth degree polynomial function with real coefficients satisfying the given conditions.\r
\n" ); document.write( "\n" ); document.write( "n=3; 3 and i are zeros; f(2)=10
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Algebra.Com's Answer #227103 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Since \"i\" is a root, then \"-i\" is also a root since complex roots only occur in complex conjugate pairs.
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\n" ); document.write( "\"f%28x%29=A%28x-i%29%28x%2Bi%29%28x-3%29\"
\n" ); document.write( "\"f%28x%29=A%28x%5E2%2B1%29%28x-3%29\"
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\n" ); document.write( "Use the point to solve for A.
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\n" ); document.write( "\"f%282%29=A%284%2B1%29%282-3%29=10\"
\n" ); document.write( "\"A%285%29%28-1%29=10\"
\n" ); document.write( "\"A=-2\"
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\n" ); document.write( "\"f%28x%29=-2%28x%5E2%2B1%29%28x-3%29\"
\n" ); document.write( "\"f%28x%29=-2%28x%5E3-3x%5E2%2Bx-3%29\"
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