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2\left(21f^{3}-6f^{2}+2-7f\right)
Factor out 2.
3f^{2}\left(7f-2\right)-\left(7f-2\right)
Consider 21f^{3}-6f^{2}+2-7f. Do the grouping 21f^{3}-6f^{2}+2-7f=\left(21f^{3}-6f^{2}\right)+\left(2-7f\right), and factor out 3f^{2} in the first and -1 in the second group.
\left(7f-2\right)\left(3f^{2}-1\right)
Factor out common term 7f-2 by using distributive property.
2\left(7f-2\right)\left(3f^{2}-1\right)
Rewrite the complete factored expression. Polynomial 3f^{2}-1 is not factored since it does not have any rational roots.