document.write( "Question 772260: Find a polynomial f(x)with real coefficients having the given degree and zeros
\n" ); document.write( "Degree 5 zeros 9;-i;-6+i \n" ); document.write( "
Algebra.Com's Answer #470800 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
The complex nonreal numbers come with their conjugates.\r
\n" ); document.write( "\n" ); document.write( "Form the factored form of the function:
\n" ); document.write( "\"f%28x%29=%28x-9%29%28x-%28-i%29%29%28x-i%29%28x-%28-6%2Bi%29%29%28x-%28-6-i%29%29\"
\n" ); document.write( "Fully multiply the expression...
\n" ); document.write( "...you may need some pre-simplifications first as well as later...
\n" ); document.write( "\"f%28x%29=%28x-9%29%28x%2Bi%29%28x-i%29%28x%2B6-i%29%28x%2B6%2Bi%29\"
\n" ); document.write( "\"f%28x%29=%28x-9%29%28x%5E2-i%5E2%29%28%28x%2B6%29-i%29%28%28x%2B6%29%2Bi%29\"
\n" ); document.write( "\"f%28x%29=%28x-9%29%28x%5E2%2B1%29%28%28x%2B6%29%5E2-i%5E2%29\"
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\n" ); document.write( "There is much more multiplying and simplifying to do, but at least I showed enough of the steps so you can see how to handle the complex roots and complex factors and begin their simplifications. I post just that unfinished solution to the extent shown. \n" ); document.write( "
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