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Math Help - polynomial, degree and zeros (help) i think i have the answer

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    Exclamation polynomial, degree and zeros (help) i think i have the answer

    form a polynomial f(x) with real coefficients having the given degree and zeros.
    degree 4
    zeros 2-3i; -1 multiplicity 2




    when i did it i got x4+6x3+16x2+18x+7

    x=-1 x=-1 x=(2-3i) x=(2+3i)
    Last edited by nae33; July 7th 2008 at 06:17 PM. Reason: added on
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  2. #2
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    Quote Originally Posted by nae33 View Post
    form a polynomial f(x) with real coefficients having the given degree and zeros.
    degree 4
    zeros 2-3i; -1 multiplicity 2




    when i did it i got x4+6x3+16x2+18x+7

    x=-1 x=-1 x=(2-3i) x=(2+3i)
    The answer is wrong. Show all your working so that your mistake(s) can be pinpointed.

    Note that the factors of f(x) are (x+1)^2, (x - 2 + 3i) and (x - 2 - 3i).
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