Consider $14a^{2}+33ab+10b^{2}$ as a polynomial over variable $a$.
$$14a^{2}+33ba+10b^{2}$$
Find one factor of the form $ka^{m}+n$, where $ka^{m}$ divides the monomial with the highest power $14a^{2}$ and $n$ divides the constant factor $10b^{2}$. One such factor is $14a+5b$. Factor the polynomial by dividing it by this factor.
