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29 June, 15:55

According to the Rational Root Theorem, what are all the potential rational roots of f (x) = 5x3 - 7x + 11?

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  1. 29 June, 17:12
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    According to the rational root theorem, the potential roots of the a function are the (positive and negative) ratios of the factors of the coefficients of the leading coefficient and the constant term.

    The leading coefficient is x3 and has a coefficient of 5 with factors of 1 and 5.

    The constant term is 11 and has the following factors: 1 and 11.

    Therefore, the following are the potential rational roots of the function:

    1, - 1, 5, - 5, 1/11, - 1/11, 5/11, - 5/11
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