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4\left(7ct^{4}+7ct^{3}+6ct^{2}\right)
Factor out 4.
ct^{2}\left(7t^{2}+7t+6\right)
Consider 7ct^{4}+7ct^{3}+6ct^{2}. Factor out ct^{2}.
4ct^{2}\left(7t^{2}+7t+6\right)
Rewrite the complete factored expression. Polynomial 7t^{2}+7t+6 is not factored since it does not have any rational roots.