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Math Help - Polynomial Function

  1. #1
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    Post Polynomial Function

    Hey all , I am working on the following, any comments would be appreciated.

    Find a polynomial function P(x) that has zeros of -5, 3(multiplicity 2), 2 + i, and 2 - i, with degree 5.

    Thanks - AC-
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  2. #2
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    Quote Originally Posted by AlgebraicallyChallenged View Post
    Hey all , I am working on the following, any comments would be appreciated.

    Find a polynomial function P(x) that has zeros of -5, 3(multiplicity 2), 2 + i, and 2 - i, with degree 5.

    Thanks - AC-
    Try multiplying out

    (x+5)(x-3)^2(x-2-i)(x-2+i)=(x+5)(x-3)^2(x^2-4x+5)
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  3. #3
    MHF Contributor red_dog's Avatar
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    x_1=-5, \ x_2=x_3=2, \ x_4=2+i, \ x_5=2-i

    P(x)=(x-x_1)(x-x_2)(x-x_3)(x-x_4)(x-x_5)=(x+5)(x-2)^2(x^2-4x+5)
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