Consider $a^{3}b^{6}c^{9}+8$ as a polynomial over variable $a$.
$$b^{6}c^{9}a^{3}+8$$
Find one factor of the form $b^{k}c^{m}a^{n}+p$, where $b^{k}c^{m}a^{n}$ divides the monomial with the highest power $b^{6}c^{9}a^{3}$ and $p$ divides the constant factor $8$. One such factor is $ab^{2}c^{3}+2$. Factor the polynomial by dividing it by this factor.
