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14q^{2}-33wq+18w^{2}
Consider 14q^{2}-33qw+18w^{2} as a polynomial over variable q.
\left(2q-3w\right)\left(7q-6w\right)
Find one factor of the form kq^{m}+n, where kq^{m} divides the monomial with the highest power 14q^{2} and n divides the constant factor 18w^{2}. One such factor is 2q-3w. Factor the polynomial by dividing it by this factor.