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Math Help - Factoring Problem

  1. #1
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    Factoring Problem

    4x^{3}-6x^{2}-72x

    2x(2x^{2} - 3x - 36)

    ?? hint on next move
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  2. #2
    MHF Contributor
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    Re: Factoring Problem

    next move to do what? Are you trying to factor it completely?

    It can't be factored further over the rationals.

    If you want to find the all the factors over the real numbers apply the quadratic formula to find the 2 roots, $r_1$ and $r_2$, of $2x^2-3x-36$

    and your final factorization will be

    $2x(x-r_1)(x-r_2)$
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  3. #3
    Junior Member SPOCK's Avatar
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    Re: Factoring Problem

    Agree with romsek, the expression cannot be factored further. You have to use the quadratic formula to find the roots of the expression within the brackets. Also, the roots will not be rational numbers since the discriminant is not a perfect square.
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