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Math Help - Help factorising these please :(

  1. #1
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    Unhappy Help factorising these please :(

    1) y=1/4x^4-3/2x^2+2x

    2) y=1/4x^4+1/3x^3-x^2

    3) y=x^3+x^2-x

    Thanks a lot


    EDIT: nvm- figured it.
    Last edited by gapple16; October 13th 2010 at 02:39 AM.
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  2. #2
    MHF Contributor Amer's Avatar
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    what is ur problem u do not know how to factorize or u have a problem in factorizing, show some work I will solve the first one

    \displaystyle y = \frac{x^4}{4} - \frac{3x^2}{2} + 2x

    all terms contains x or a power of x so we will take x as a common factor

    \displaystyle y = (x)\left(\frac{x^4}{4x} - \frac{3x^2}{2x} + \frac{2x}{x} \right)

    \displaystyle y = (x)\left(\frac{x^3}{4} - \frac{3x}{2} + \frac{2}{1} \right)

    end
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  3. #3
    MHF Contributor

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    I would take out a " \frac{1}{4} to get
    \frac{1}{4}x(x^3- 6x+ 8)
    but it can be shown that the remaining cubic has no factors with rational or integer coefficients.
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