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4\left(k+2k^{2}+3k^{3}\right)
Factor out 4.
k\left(1+2k+3k^{2}\right)
Consider k+2k^{2}+3k^{3}. Factor out k.
4k\left(1+2k+3k^{2}\right)
Rewrite the complete factored expression. Polynomial 1+2k+3k^{2} is not factored since it does not have any rational roots.