According to the Rational Roots Theorem, which statement about f of x is equal to 25 x to the 7th power minus x to the 6th power minus 5 x to the 4th power plus x minus 49 is true?

The Rational Root Theorem says that any rational root of a polynomial with integer coefficients must be p/q, where p is a factor of the constant term and q is a factor of the leading coefficient. Here the constant term is −49 and the leading coefficient is 25, so any rational root is a factor of −49 divided by a factor of 25. Therefore, the true statement is “Any rational root of f(x) is a factor of negative 49 divided by a factor of 25.”

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