Question 33

Given that $p(x)$ and $g(x)$ are two different polynomials, with $p(10) = m$ and $g(10) = n$. If $p(x)h(x) = \left(\frac{p(x)}{g(x)} - 1\right)(p(x) + g(x))$, $h(10) = -\frac{16}{15}$, then the maximum value of $|m + n| =$....