Answer
The polynomial function with integer coefficients is $f\left( x \right)={{a}_{n}}{{x}^{n}}+{{a}_{n-1}}{{x}^{n-1}}+...+{{a}_{1}}x+{{a}_{0}}$, ${{a}_{n}}\ne 0$. The Rational Zero Theorem states that if $\frac{p}{q}$ is a rational zero of f (where $\frac{p}{q}$ is reduced to lowest terms), then p is a factor of ${{a}_{0}}$ and q is a factor of ${{a}_{n}}$.
Work Step by Step
Given above.
