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15r^{2}-23sr+4s^{2}
Consider 15r^{2}-23rs+4s^{2} as a polynomial over variable r.
\left(3r-4s\right)\left(5r-s\right)
Find one factor of the form kr^{m}+n, where kr^{m} divides the monomial with the highest power 15r^{2} and n divides the constant factor 4s^{2}. One such factor is 3r-4s. Factor the polynomial by dividing it by this factor.