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math

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list all the possible rational zeros for the polynomial below. find all the zeros of the polynomialbelow and factor completely.
F(x)=5x^4-x^3-33x^2-43x-16

  • math -

    possible rational roots will have numerator 1,2,4,8,16 (or negatives)
    denominator 1 or 5 (or negatives)

    A little synthetic division reveals thet

    F(x) = (x+1)^3 * (5x -16)

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