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5\left(5p^{4}-2p^{2}+4p\right)
Factor out 5.
p\left(5p^{3}-2p+4\right)
Consider 5p^{4}-2p^{2}+4p. Factor out p.
5p\left(5p^{3}-2p+4\right)
Rewrite the complete factored expression. Polynomial 5p^{3}-2p+4 is not factored since it does not have any rational roots.