document.write( "Question 1086041: Find a polynomial function of least degree having only real coefficients, a leading coefficient of 1, and zeros of 3 and 5 plus i . \n" ); document.write( "

Algebra.Com's Answer #700143 by Fombitz(32388) $\"\"$ $\"About$

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Real coefficients with complex roots means the roots are in complex conjugate pairs.
\n" ); document.write( " $\"f%28x%29=1%28x-3%29%28x-%285%2Bi%29%29%28x-%285-i%29%29\"$
\n" ); document.write( " $\"f%28x%29=1%28x-3%29%28x%5E2-10x%2B26%29\"$
\n" ); document.write( " $\"f%28x%29=x%5E3-13x%5E2%2B56x-78\"$ \r
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