# What is the rational zeros test?

The Rational Zeros Theorem states: If $P \left(x\right)$ is a polynomial with integer coefficients and if $\frac{p}{q}$ is a zero of $P \left(x\right)$ , ($P \left(\frac{p}{q}\right) = 0$), then $p$ is a factor of the constant term of $P \left(x\right)$ and q is a factor of the leading coefficient of P(x) .