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c^{2}+16fc+55f^{2}
Consider c^{2}+16cf+55f^{2} as a polynomial over variable c.
\left(c+11f\right)\left(c+5f\right)
Find one factor of the form c^{k}+m, where c^{k} divides the monomial with the highest power c^{2} and m divides the constant factor 55f^{2}. One such factor is c+11f. Factor the polynomial by dividing it by this factor.