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t^{2}+9ft+20f^{2}
Consider t^{2}+9tf+20f^{2} as a polynomial over variable t.
\left(t+5f\right)\left(t+4f\right)
Find one factor of the form t^{k}+m, where t^{k} divides the monomial with the highest power t^{2} and m divides the constant factor 20f^{2}. One such factor is t+5f. Factor the polynomial by dividing it by this factor.