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9p^{2}-2qp-7q^{2}
Consider 9p^{2}-2pq-7q^{2} as a polynomial over variable p.
\left(9p+7q\right)\left(p-q\right)
Find one factor of the form kp^{m}+n, where kp^{m} divides the monomial with the highest power 9p^{2} and n divides the constant factor -7q^{2}. One such factor is 9p+7q. Factor the polynomial by dividing it by this factor.