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Math Help - urgent help needed

  1. #1
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    urgent help needed

    Give the usual ax^2 + bx + c form of the quadratic function which has a = 1, and has two zeros z = 3 + 2i and z' = 3 - 2i

    I am really having probelms with this question and now have little time to solve it.
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  2. #2
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    Quote Originally Posted by 14041471 View Post
    Give the usual ax^2 + bx + c form of the quadratic function which has a = 1, and has two zeros z = 3 + 2i and z' = 3 - 2i

    I am really having probelms with this question and now have little time to solve it.
    If z = 3 + 2i is a root, then (z-3-2i) is a factor.
    If z = 3 - 2i is a root, then (z-3+2i) is a factor.

    Hence you can say z^2 + bz + c = (z-3+2i)(z-3-2i)

    If you multiply that out you'll be able to see what b and c are.
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