document.write( "Question 764936: Form a polynomial f(x)with real coefficients having the given degree and zeros. Degree 5 and Zeros -1, -i,-4+i What is f(x)? \n" ); document.write( "

Algebra.Com's Answer #465828 by tommyt3rd(5050) $\"\"$ $\"About$

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Since the coefficients are real, the complex zeros must occur in conjugate pairs, and the multiplicity of a zero tells how many times it occurs, so... \r
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\n" ); document.write( "\n" ); document.write( " $\"%0D%0Af%28x%29=%28x-%28-1%29%29%28x-i%29%28x%2Bi%29%28x%2B4-i%29%28x%2B4%2Bi%29%0D%0A\"$ \r
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\n" ); document.write( "\n" ); document.write( "and after multiplying ( it's tedious but not hard) we get \r
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\n" ); document.write( "\n" ); document.write( " $\"%0D%0Af%28x%29=x%5E5%2B9x%5E4%2B26x%5E3%2B26x%5E2%2B25x%2B17%0D%0A\"$ \r
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\n" ); document.write( "\n" ); document.write( ":) \n" ); document.write( "

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