document.write( "Question 627126: Let f be a fourth-degree polynomial with the zeros -2,6,2i,and -2. ?? \r
\n" ); document.write( "\n" ); document.write( "Write the polynomial in factored form.
\n" ); document.write( "Write the polynomial in standard form. \n" ); document.write( "

Algebra.Com's Answer #394717 by solver91311(24713) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "This is only possible if your polynomial has complex coefficients. If that is not the case, then you have made a typo when you wrote out the roots. Complex zeros always come in conjugate pairs when you have a polynomial with real coefficients.\r
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\n" ); document.write( "\n" ); document.write( "Regardless, if a given number

is a zero of a polynomial, then

is a factor of the polynomial. So if your four zeros are

, and

, then the factored form of the polynomial is:\r
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.\r
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\n" ); document.write( "\n" ); document.write( "Multiply the four factors to get the standard form.
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\n" ); document.write( "\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it
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$\"The$

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