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12q^{2}-29dq+14d^{2}
Consider 12q^{2}-29qd+14d^{2} as a polynomial over variable q.
\left(3q-2d\right)\left(4q-7d\right)
Find one factor of the form kq^{m}+n, where kq^{m} divides the monomial with the highest power 12q^{2} and n divides the constant factor 14d^{2}. One such factor is 3q-2d. Factor the polynomial by dividing it by this factor.