document.write( "Question 1106850: Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. \r
\n" ); document.write( "\n" ); document.write( "5, -3, and -1 + 2i
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Algebra.Com's Answer #721835 by greenestamps(13198)\"\" \"About 
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\n" ); document.write( "If the polynomial is to have real coefficients, then complex roots must occur in conjugate pairs. Since -1+2i is a root, -1-2i must be another root.

\n" ); document.write( "The linear factors are (x-5) and (x+3); the quadratic factor corresponding to the two complex roots is (x^2+2x+5). The polynomial in standard form is then

\n" ); document.write( "\"%28x-5%29%28x%2B3%29%28x%5E2%2B2x%2B5%29+=+x%5E4-14x%5E2-40x-75\"
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