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f^{2}\left(2f^{3}-4f^{2}-f+2\right)
Factor out f^{2}.
2f^{2}\left(f-2\right)-\left(f-2\right)
Consider 2f^{3}-4f^{2}-f+2. Do the grouping 2f^{3}-4f^{2}-f+2=\left(2f^{3}-4f^{2}\right)+\left(-f+2\right), and factor out 2f^{2} in the first and -1 in the second group.
\left(f-2\right)\left(2f^{2}-1\right)
Factor out common term f-2 by using distributive property.
f^{2}\left(f-2\right)\left(2f^{2}-1\right)
Rewrite the complete factored expression. Polynomial 2f^{2}-1 is not factored since it does not have any rational roots.