Roots of a Quadratic Polynomial

If the $p$ and $q$ are the roots of the equation $2x^2 - 5x + 6$, what is the value of $p^2q + pq^2$? The answer is in the form $\frac{\alpha}{\beta}$ for some coprime integers $\alpha$ and $\beta$. Input the value of $\alpha+\beta$.