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11\left(5p^{2}-p^{7}+4p^{5}\right)
Factor out 11.
p^{2}\left(5-p^{5}+4p^{3}\right)
Consider 5p^{2}-p^{7}+4p^{5}. Factor out p^{2}.
11p^{2}\left(5-p^{5}+4p^{3}\right)
Rewrite the complete factored expression. Polynomial 5-p^{5}+4p^{3} is not factored since it does not have any rational roots.