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t+2t^{2}+t^{2}+t^{5}+t^{6}
Combine t^{2} and t^{2} to get 2t^{2}.
t+3t^{2}+t^{5}+t^{6}
Combine 2t^{2} and t^{2} to get 3t^{2}.
t\left(1+t+t+t+t^{4}+t^{5}\right)
Factor out t. Polynomial t^{5}+t^{4}+3t+1 is not factored since it does not have any rational roots.