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5x^{2}-17yx-12y^{2}
Consider 5x^{2}-17xy-12y^{2} as a polynomial over variable x.
\left(5x+3y\right)\left(x-4y\right)
Find one factor of the form kx^{m}+n, where kx^{m} divides the monomial with the highest power 5x^{2} and n divides the constant factor -12y^{2}. One such factor is 5x+3y. Factor the polynomial by dividing it by this factor.