document.write( "Question 1131018: Write a third degree polynomial function y = P(x) with rational coefficients so that P(x) = 0 has roots -2 and 6 + i \n" ); document.write( "

Algebra.Com's Answer #747613 by josgarithmetic(39618) $\"\"$ $\"About$

You can put this solution on YOUR website!
This and so many like it have been done already.\r
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\n" ); document.write( "\n" ); document.write( "y=p(x)
\n" ); document.write( "zeros are v, and a+i.\r
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\n" ); document.write( "\n" ); document.write( "Another zero is a-i.\r
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\n" ); document.write( "\n" ); document.write( " $\"p%28x%29=%28x-v%29%28x-%28a-i%29%29%28x-%28a%2Bi%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-v%29%28x-a%2Bi%29%28x-a-i%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-v%29%28%28x-a%29%2Bi%29%28%28x-a%29-i%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-v%29%28%28x-a%29%5E2-i%5E2%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-v%29%28%28x-a%29%5E2%2B1%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"highlight%28%28x-v%29%28x%5E2-2ax%2Ba%5E2%2B1%29%29\"$ , and you could multiply further to simplify . \n" ); document.write( "

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