Consider $3x^{2}+5xy+2y^{2}$ as a polynomial over variable $x$.
$$3x^{2}+5yx+2y^{2}$$
Find one factor of the form $kx^{m}+n$, where $kx^{m}$ divides the monomial with the highest power $3x^{2}$ and $n$ divides the constant factor $2y^{2}$. One such factor is $3x+2y$. Factor the polynomial by dividing it by this factor.
