document.write( "Question 378947: degree if 3 zeros: 1+i and -5........form a polynomial f(x) with real coefficients have the given degree and zeros \n" ); document.write( "

Algebra.Com's Answer #269146 by Fombitz(32388) $\"\"$ $\"About$

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Complex roots always come in complex conjugate pairs.
\n" ); document.write( "Since $\"x=1%2Bi\"$ is a solution, $\"x=1-i\"$ is also a solution.
\n" ); document.write( " $\"f%28x%29=%28x%2B5%29%28x-%281%2Bi%29%29%28x-%281-i%29%29\"$
\n" ); document.write( " $\"f%28x%29=%28x%2B5%29%28x%5E2-2x%2B2%29\"$
\n" ); document.write( " $\"f%28x%29=%28x%5E3-2x%5E2%2B2x%29%2B%285x%5E2-10x%2B10%29\"$
\n" ); document.write( " $\"f%28x%29=x%5E3%2B3x%5E2-8x%2B10\"$ \n" ); document.write( "

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