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Math Help - Is this right?

  1. #1
    Junior Member
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    Is this right?

    Find a polynomial function with integer coefficients that has the given zeros:
    0, 0, 4, 1 + i

    My work:
    f(x) = (x - 0) (x - 0) (x - 4) (x - 1 - i)
    x^2 (x - 4) multiply (x - (1 + i)) (x - (1 - i))
    x^2 (x - 4) (x^2 - 2x + 2)
    x^5 - 6x^4 + 3x^3 - 4x^2

    So I'm not sure if this is correct?
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  2. #2
    MHF Contributor

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    I get x^5-6x^4+\color{blue}10x^3-8x^2.
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  3. #3
    Junior Member
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    Sep 2009
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    You're right, I had a feeling I made a mistake Thanks for replying.
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