Final answer:
Every rational zero of a polynomial function is expressed as h/k, where h is a factor of the constant term, and k is a factor of the leading coefficient, following the Rational Root Theorem.
Step-by-step explanation:
Every rational zero of a polynomial function has h/k such that h is a factor of the constant term and k is a factor of the leading coefficient. Every rational zero of a polynomial function is expressed as h/k, where h is a factor of the constant term, and k is a factor of the leading coefficient, following the Rational Root Theorem.
This is known as the Rational Root Theorem, which helps you find all possible rational zeros of a polynomial function. When looking for rational zeros, you would list all factors of the final (constant) term of the polynomial for 'h' and all the factors of the leading coefficient for 'k'.
Then, you form fractions with these values to get all possible rational roots that can be tested to find the actual roots of the polynomial.