Consider $10x^{2}+3xy-4y^{2}$ as a polynomial over variable $x$.
$$10x^{2}+3yx-4y^{2}$$
Find one factor of the form $kx^{m}+n$, where $kx^{m}$ divides the monomial with the highest power $10x^{2}$ and $n$ divides the constant factor $-4y^{2}$. One such factor is $2x-y$. Factor the polynomial by dividing it by this factor.
