According to the Rational Roots Theorem, which statement about f(x) = 25x7 – x6 – 5x4 + x – 49 is true?

The Rational Roots Theorem says a rational root, written in lowest terms as p/q, must have p as a factor of the constant term and q as a factor of the leading coefficient. Here the constant term is −49 and the leading coefficient is 25, so any rational root must be a factor of −49 divided by a factor of 25. That is choice C.

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