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7x^{4}+23yx^{2}-30y^{2}
Consider 7x^{4}+23x^{2}y-30y^{2} as a polynomial over variable x.
\left(7x^{2}+30y\right)\left(x^{2}-y\right)
Find one factor of the form kx^{m}+n, where kx^{m} divides the monomial with the highest power 7x^{4} and n divides the constant factor -30y^{2}. One such factor is 7x^{2}+30y. Factor the polynomial by dividing it by this factor.