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6f^{2}\left(7f-4\right)-5\left(7f-4\right)
Do the grouping 42f^{3}+20-24f^{2}-35f=\left(42f^{3}-24f^{2}\right)+\left(-35f+20\right), and factor out 6f^{2} in the first and -5 in the second group.
\left(7f-4\right)\left(6f^{2}-5\right)
Factor out common term 7f-4 by using distributive property. Polynomial 6f^{2}-5 is not factored since it does not have any rational roots.