Consider $4x^{2}-7xy+3y^{2}$. Consider $4x^{2}-7xy+3y^{2}$ as a polynomial over variable $x$.
$$4x^{2}-7yx+3y^{2}$$
Find one factor of the form $kx^{m}+n$, where $kx^{m}$ divides the monomial with the highest power $4x^{2}$ and $n$ divides the constant factor $3y^{2}$. One such factor is $4x-3y$. Factor the polynomial by dividing it by this factor.
