According to the Rational Root Theorem, what are all the potential rational roots of f of x is equal to 15 x to the 11th power minus 6 x to the 8th power plus x cubed minus 4 x plus 3 ?

The Rational Root Theorem says any potential rational root is a factor of the constant term divided by a factor of the leading coefficient. Here, the constant term is 3 and the leading coefficient is 15, so the candidates come from ±1 or ±3 over 1, 3, 5, or 15. After reducing duplicates, these are ±1/15, ±1/5, ±1/3, ±3/5, ±1, and ±3, which matches choice A.

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