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Math Help - Solve over Complex Plane

  1. #1
    Member classicstrings's Avatar
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    Solve over Complex Plane

    Having trouble with this,

    x^4 - 2x^3 + x^2 - 36 = 0

    I found that (x+2)(x-3) are factors, but then how do I find the complex factors?
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by classicstrings View Post
    Having trouble with this,

    x^4 - 2x^3 + x^2 - 36 = 0

    I found that (x+2)(x-3) are factors, but then how do I find the complex factors?
    If you've found that (x + 2)(x - 3) is a factor of the original polynomial then you also know that:
    (x^4 - 2x^3 + x^2 - 36)/[(x + 2)(x - 3)] = 0 for x not equal to -2 and 3. When you do the polynomial division you get:
    x^2 - x + 6 = 0

    I presume you can solve this from here?

    -Dan
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