## Precalculus (6th Edition) Blitzer

If $f\left( x \right)={{a}_{n}}{{x}^{n}}+{{a}_{n-1}}{{x}^{n-1}}+........+{{a}_{1}}x+{{a}_{0}}$ has integer coefficients and $\frac{p}{q}$ is a root (rational zero) of $f\left( x \right)$ , then p is a factor of the constant term, ${{a}_{o}}$ , and q is a factor of the leading coefficient, ${{a}_{n}}$. Thus, if $\frac{3}{4}$ is a root of a polynomial equation, then 3 is a factor of the constant term and 4 is a factor of the leading coefficient.