document.write( "Question 576103: it says write a polynomial function of least degree that has real coefficient, the given zeros, and leading coefficients of 1.\r
\n" ); document.write( "\n" ); document.write( "with these three numbers... -1, -2, -3\r
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\n" ); document.write( "\n" ); document.write( "and these... 3, -3, 2i\r
\n" ); document.write( "\n" ); document.write( "then after you write a polynomial function multiply it out, do not leave in factored form. \n" ); document.write( "

Algebra.Com's Answer #369726 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "If

is a zero of a polynomial equation, then

is a factor of the polynomial. Complex zeros always come in conjugate pairs, that is if

is a zero, then

is also a zero.\r
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\n" ); document.write( "\n" ); document.write( "For your second problem,

is a zero, so

is also a zero. Hence your four factors are:\r
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\r
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\n" ); document.write( "\n" ); document.write( "You can multiply out the factors for yourself. Hint: The product of two conjugates is the difference of two squares. Hint #2: Don't forget

-- that will make the product of the two complex factors the SUM of two squares and eliminate the

s.\r
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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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