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Math Help - Rational Root Theorem

  1. #1
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    Rational Root Theorem

    I have no idea how to do this could you please provide the steps to solving?

    use the rational root theorem to list the possible roots and actual roots
    x^4-2x^3-4x^2+11x-6
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  2. #2
    Super Member 11rdc11's Avatar
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    x= \pm~\frac{p}{q}

    p ia an interger factor of the constant term

    q is an interger factor of the leading coefficient

    x^4-2x^3-4x^2+11x-6

    so p is 6 and q is 1

    so now factor out 6 and 1

    Factors of 6 are 1,2,3,6

    so \pm~\frac{1,2,3,6}{1}

    so your possible roots are 1,-1,2,-2,3,-3,6,-6

    Now use syntheic division aand try out your roots.

    1 and 2 works out nicely

    (x-2)(x-1)(x^2+x-3)
    Last edited by 11rdc11; October 13th 2008 at 06:17 PM.
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