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Math Help - Rational function

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    Question Rational function

    The number 8 - 5i is a zero of multiplicity 4 of the polynomial function g(x), which has real coefficients. What is the minimum possible degree of g(x)?
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by live_laugh_luv27 View Post
    The number 8 - 5i is a zero of multiplicity 4 of the polynomial function g(x), which has real coefficients. What is the minimum possible degree of g(x)?
    note that if 8 - 5i is a zero, then 8 + 5i is a zero (of the same multiplicity). so what do you think the answer is?
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    Quote Originally Posted by Jhevon View Post
    note that if 8 - 5i is a zero, then 8 + 5i is a zero (of the same multiplicity). so what do you think the answer is?

    4?
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by live_laugh_luv27 View Post
    4?
    do you know what "zeros" mean?

    the polynomial function has AT LEAST the following factors

    (x - (8 - 5i))^4(x - (8 + 5i))^4

    thus ...
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