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