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

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