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Math Help - higher degree factorization

  1. #1
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    higher degree factorization

    how to solve: z^4+13z^2+36
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  2. #2
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    Re: higher degree factorization

    Quote Originally Posted by baidyasuyam View Post
    how to solve: z^4+13z^2+36
    $u=z^2$

    $u^2+13u+36$

    $(u+9)(u+4)$

    $(z^2+9)(z^2+4)$

    Thats as far as it will go assuming real numbers. If z can be complex

    $(z+3\imath)(z-3\imath)(z+2\imath)(z-2\imath)$
    Thanks from HallsofIvy and baidyasuyam
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