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Homework Help: Find poly F(X) with lowest degree with ratio coeffs and 2 given zeros

  1. Nov 6, 2008 #1
    1. The problem statement, all variables and given/known data
    Find a polynomial function of lowest degree with rational coefficients and 2 and 3-2i as some of its zeros. Multiply the factors to make sure it has rational coefficients.

    3. The attempt at a solution

    zeros=2, 3-2i, 3+2i

    I am not sure how write out the factors?

    (x-2)(x-3+2i)(x-3-2i) is this correct?
     
  2. jcsd
  3. Nov 6, 2008 #2

    tiny-tim

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    Yes! :biggrin:

    hmm :rolleyes: … it said multiply the factors … but why when they're obviously rational … hmm …

    are you sure the question isn't "2 and 3 - √2i"?
     
  4. Nov 6, 2008 #3
    I am not to sure. nope it is for sure 2 and 3-2i. maybe its supposed to just be an encouragement to always check ones answers.
     
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