Consider $8x^{2}+2xy-15y^{2}$ as a polynomial over variable $x$.
$$8x^{2}+2yx-15y^{2}$$
Find one factor of the form $kx^{m}+n$, where $kx^{m}$ divides the monomial with the highest power $8x^{2}$ and $n$ divides the constant factor $-15y^{2}$. One such factor is $2x+3y$. Factor the polynomial by dividing it by this factor.