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2x^{2}+yx-10y^{2}
Consider 2x^{2}+xy-10y^{2} as a polynomial over variable x.
\left(2x+5y\right)\left(x-2y\right)
Find one factor of the form kx^{m}+n, where kx^{m} divides the monomial with the highest power 2x^{2} and n divides the constant factor -10y^{2}. One such factor is 2x+5y. Factor the polynomial by dividing it by this factor.