Consider $x^{2}-24y^{2}+5xy$. Consider $x^{2}-24y^{2}+5xy$ as a polynomial over variable $x$.
$$x^{2}+5yx-24y^{2}$$
Find one factor of the form $x^{k}+m$, where $x^{k}$ divides the monomial with the highest power $x^{2}$ and $m$ divides the constant factor $-24y^{2}$. One such factor is $x+8y$. Factor the polynomial by dividing it by this factor.
