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6p^{2}-7qp-5q^{2}
Consider 6p^{2}-7pq-5q^{2} as a polynomial over variable p.
\left(2p+q\right)\left(3p-5q\right)
Find one factor of the form kp^{m}+n, where kp^{m} divides the monomial with the highest power 6p^{2} and n divides the constant factor -5q^{2}. One such factor is 2p+q. Factor the polynomial by dividing it by this factor.