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x^{2}+\left(-9y-3\right)x+14y^{2}+21y
Consider x^{2}-9xy+14y^{2}+21y-3x as a polynomial over variable x.
\left(x-7y\right)\left(x-2y-3\right)
Find one factor of the form x^{k}+m, where x^{k} divides the monomial with the highest power x^{2} and m divides the constant factor 14y^{2}+21y. One such factor is x-7y. Factor the polynomial by dividing it by this factor.