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5\left(w^{7}+6w^{6}+19w^{5}\right)
Factor out 5.
w^{5}\left(w^{2}+6w+19\right)
Consider w^{7}+6w^{6}+19w^{5}. Factor out w^{5}.
5w^{5}\left(w^{2}+6w+19\right)
Rewrite the complete factored expression. Polynomial w^{2}+6w+19 is not factored since it does not have any rational roots.