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