Question

The rational roots of a polynomial function f(x) can be written in the form p/q, where p is a factor of the leading coefficient of the polynomial and q is a factor of the constant.

true or false

Answer 1

The statement is true. The rational roots of a polynomial function can be found using the Rational Root Theorem.

Step-by-step explanation:

The statement is true. The rational roots of a polynomial function can be found using the Rational Root Theorem. According to the theorem, if a polynomial function with integer coefficients has a rational root in the form of p/q, where p is a factor of the leading coefficient and q is a factor of the constant term, then p is a factor of the constant term and q is a factor of the leading coefficient.

By testing all possible factors of the constant term and leading coefficient, we can determine the rational roots of the polynomial function.