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