document.write( "Question 1095664: Form a polynomial f(x) with real coefficients having the given degree and zeros. (InterAct Math # 17)\r
\n" ); document.write( "\n" ); document.write( "Degree 3: zeros: 1 + i and -10 \n" ); document.write( "
Algebra.Com's Answer #710173 by greenestamps(13203)\"\" \"About 
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If a polynomial has real coefficients, then complex roots occur in conjugate pairs. So if 1+i is a root, then 1-i is another root. So the three roots are 1+i, 1-i, and 10. Then the polynomial is
\n" ); document.write( "\"%28x-%281%2Bi%29%29%28x-%281-i%29%29%28x-10%29\"
\n" ); document.write( "\"%28%28x-1%29-i%29%28%28x-1%29%2Bi%29%28x-10%29\"
\n" ); document.write( "\"%28x%5E2-2x%2B1%2B1%29%28x-10%29\"
\n" ); document.write( "\"%28x%5E2-2x%2B2%29%28x-10%29\"
\n" ); document.write( "\"x%5E3-10x%5E2-2x%5E2%2B20x%2B2x-20\"
\n" ); document.write( "\"x%5E3-12x%5E2%2B22x-20\" \n" ); document.write( "
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