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Math Help - Degree 3, zeros 2, 3-i

  1. #1
    Junior Member
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    Exclamation Degree 3, zeros 2, 3-i

    Information is given about a complex polynomial f(x) whose coefficients are real numbers. Find the remaining zeros for f.
    Degree 3; zeros 2, 3 - i
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  2. #2
    Senior Member
    Joined
    Nov 2008
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    Hi

    It is f(x) = (x - 3 - i)(x - 3 + i) = x^2 - 6x + 10

    My idea is the binomial (a-b)(a+b) = a^2 - b^2 [=(x - 3 - i)(x - 3 + i) ]

    is b in IC,

    then: b^2 in IR, same for a.


    Rapha
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