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    Polynomials

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    Use the Rational Zero Theorem to list possible rational zeros for the polynomial:
    P(x) =x^3+3 x^2-6x-8

    Use Descartes' Rule of Signs to determine both the number of possible positive and the number of possible negative real zeros of the polynomial.
    P(x) = 2 x^3 + x^2 - 25 x + 12

    Use the given zero to find the remaining zeros of the polynomial.
    P(x) = 3 x^3 - 29 x^2 + 92 x + 34
    The given zero = 5 + 3i

    Determine the vertical and horizontal asymptotes and sketch the graph of the rational function F(x). Label all intercepts and asymptotes.
    f(x) = -4 / (x-3)

    Write the logarithmic expression as a single logarithm.
    Log (x+5) + 2 log x

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    https://brainmass.com/math/basic-algebra/solving-5-example-algebra-problems-5108

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    Answers questions on polynomials, Descartes' Rule of Signs, zeros of the polynomial, graph of a function, intercepts and asymptotes and a logarithmic expression.

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