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College Algebra

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Use rational root theorem and the factor theorem to help solve the following equation

  • College Algebra -

    If there rational roots to
    x^4 - 2x^3 - 13x^2 + 38x - 24 = 0
    then the numerator must divide 24 and the denominator must divide 1.

    In other words, the roots must be a factor of 24, in this case.

    The factor theorem says that if x-a divides f(x), then a is a root of f(x) = 0.

    A little easy synthetic division reveals that roots are present at

    x = 1,2,3,-4

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