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11k-8k^{2}-4k^{4}+5k^{4}-2k^{2}
Combine 7k and 4k to get 11k.
11k-8k^{2}+k^{4}-2k^{2}
Combine -4k^{4} and 5k^{4} to get k^{4}.
11k-10k^{2}+k^{4}
Combine -8k^{2} and -2k^{2} to get -10k^{2}.
k\left(11-10k+k^{3}\right)
Factor out k. Polynomial k^{3}-10k+11 is not factored since it does not have any rational roots.