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4\left(9w^{4}+6w^{2}-4w^{3}\right)
Factor out 4.
w^{2}\left(9w^{2}+6-4w\right)
Consider 9w^{4}+6w^{2}-4w^{3}. Factor out w^{2}.
4w^{2}\left(9w^{2}+6-4w\right)
Rewrite the complete factored expression. Polynomial 9w^{2}+6-4w is not factored since it does not have any rational roots.