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12x^{2}+23yx-24y^{2}
Consider 12x^{2}+23xy-24y^{2} as a polynomial over variable x.
\left(3x+8y\right)\left(4x-3y\right)
Find one factor of the form kx^{m}+n, where kx^{m} divides the monomial with the highest power 12x^{2} and n divides the constant factor -24y^{2}. One such factor is 3x+8y. Factor the polynomial by dividing it by this factor.