Use the rational zeros theorem to determine the potential rational zeros of the polynomial function. Do not find the zeros. f(x)=x^(3)-6x-81 List the possible potential rational zeros of the polynomial function. ◻ (Type an integer or a fraction. Use a comma to separate answers as needed.)

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Use the rational zeros theorem to determine the potential rational zeros of the polynomial function. Do not find the zeros.  f(x)=x^(3)-6x-81 List the possible potential rational zeros of the polynomial function.  ◻ (Type an integer or a fraction. Use a comma to separate answers as needed.)

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Rational Zeros Theorem: The Rational Zeros Theorem states that if a polynomial has integer coefficients, then every rational zero, p/q (in lowest terms), has p as a factor of the constant term and q as a factor of the leading coefficient. For the polynomial f(x) = x^3 - 6x - 81, the constant term is -81 and the leading coefficient is 1.Constant Term Factors: List all the factors of the constant term, -81. The factors of -81 are ±1, ±3, ±9, ±27, and ±81.Leading Coefficient Factors: List all the factors of the leading coefficient, 1. The factors of 1 are ±1.Potential Rational Zeros Calculation: According to the Rational Zeros Theorem, the potential rational zeros are the factors of the constant term divided by the factors of the leading coefficient. Since the leading coefficient is 1, the potential rational zeros are simply the factors of the constant term.Combine Factors for Zeros: Combine the factors of the constant term to list the potential rational zeros. The potential rational zeros are ±1, ±3, ±9, ±27, and ±81.

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