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2\left(p^{3}+p\right)
Factor out 2.
p\left(p^{2}+1\right)
Consider p^{3}+p. Factor out p.
2p\left(p^{2}+1\right)
Rewrite the complete factored expression. Polynomial p^{2}+1 is not factored since it does not have any rational roots.