Consider $7z^{3}-12z^{2}y+6zy^{2}-y^{3}$ as a polynomial over variable $z$.
$$7z^{3}-12yz^{2}+6y^{2}z-y^{3}$$
Find one factor of the form $kz^{m}+n$, where $kz^{m}$ divides the monomial with the highest power $7z^{3}$ and $n$ divides the constant factor $-y^{3}$. One such factor is $-y+z$. Factor the polynomial by dividing it by this factor.
