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