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Math Help - Help! Rational Zero Test

  1. #1
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    Help! Rational Zero Test

    I have not clue how to do it! can someone help me?
    Use the Rational Zero Test to list all possible rational zeros of

    f(x)=4x^5-8x^4-5x^3+10x^2+x-2
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  2. #2
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    Quote Originally Posted by sleeper9 View Post
    I have not clue how to do it! can someone help me?
    Use the Rational Zero Test to list all possible rational zeros of

    f(x)=4x^5-8x^4-5x^3+10x^2+x-2
    The rational root theorem tell you that all rational roots of a polynomial function with integer coefficients are of the form a/b where a is a factor of the constant term and b a factor of the coefficient of the higest power of the variable.

    So in this case the rational roots are among: \{ a/b, a\in \{-2,-1,\ 1,\ 2\},\ b \in \{-4,-2,-1,\ 1,\ 2,\ 4\} \}

    or: \{-2,\ -1,\ -1/2,\ -1/4,\ \ 1/4,\ \ 1/2,\ \ 1,\ \ 2 \}

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