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Math Help - Rational Zeo Theorem

  1. #1
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    Rational Zeo Theorem

    Why doesn't ration zero theorem work on 3x^3+2x^2+4x6


    the 12 rational numbers that could possibly be zeros of P(x) are (+-)1, 2, 3, 6, 1/3, 2/3

    but none of them are zeros of 3x^3+2x^2+4x6


    Appreciate for your help
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  2. #2
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    Quote Originally Posted by f24u7 View Post
    Why doesn't ration zero theorem work on 3x^3+2x^2+4x6


    the 12 rational numbers that could possibly be zeros of P(x) are (+-)1, 2, 3, 6, 1/3, 2/3

    but none of them are zeros of 3x^3+2x^2+4x6


    Appreciate for your help
    note that the rational root theorem does not guarantee a rational root ... it says if a rational root exists, then it must be of the form p/q where p is a factor of the constant term and q is a factor of the leading coefficient.
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  3. #3
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    thanks for your help
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