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Complex Zeros of a Polynomial Function Question

  1. Feb 9, 2008 #1
    1. The problem statement, all variables and given/known data

    find a polynomial of degree 5 whose coefficients are that has the zeros: 0, -2i, 2+i

    2. Relevant equations


    3. The attempt at a solution

    I know that the two remaining zeros are: 2i and 2-i

    the factors are:


    After expand all the factors I fininshed with this answer:

    f(x)= x^5 - 4x^4 + 9x^3 - 16x^2 + 20x

    can somebody check if my work is OK?
  2. jcsd
  3. Feb 9, 2008 #2


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    Staff Emeritus
    Science Advisor

    Why don't you check it yourself? That certainly is a "polynomial of degree 5". You can put x= 0, x= -2i, and x= 2+ i into that polynomial and see if it is equal to 0.
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