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15y^{2}x^{2}+7yx-2
Consider 15x^{2}y^{2}+7xy-2 as a polynomial over variable x.
\left(3xy+2\right)\left(5xy-1\right)
Find one factor of the form ky^{m}x^{n}+p, where ky^{m}x^{n} divides the monomial with the highest power 15y^{2}x^{2} and p divides the constant factor -2. One such factor is 3xy+2. Factor the polynomial by dividing it by this factor.