document.write( "Question 1040781: Please help! I went through my book and can not find examples for this\r
\n" ); document.write( "\n" ); document.write( "Find the nth-degree polynomial function with real coefficients satisfying the given conditions:
\n" ); document.write( "n=3;4 and 2i are zeros; f(-1)= -50 \n" ); document.write( "

Algebra.Com's Answer #655686 by Fombitz(32388) $\"\"$ $\"About$

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Real coefficients means complex roots come in complex conjugate pairs.
\n" ); document.write( " $\"f%28x%29=%28x-3%29%28x-4%29%28x-2i%29%28x%2B2i%29\"$ would be the solution for n=4, the lowest degree to satisfy the conditions.
\n" ); document.write( " $\"f%28x%29=x%5E4-7x%5E3%2B16x%5E2-28x%2B48\"$
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\n" ); document.write( "For the general case,
\n" ); document.write( " $\"f%28x%29=%28x-3%29%5Ei%2A%28x-4%29%5Ej%2A%28x%5E2%2B4%29%5Ek\"$
\n" ); document.write( "where i,j,k are all positive integers which leads to a degree of
\n" ); document.write( " $\"n=i%2Bj%2B2k\"$ \r
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