$$f(t)=36t^{6}+74t^{4}-35t^{3}+13t^{2}t$$
$2t^{3}\left(18t^{3}+37t-11\right)$
$$36t^{6}+74t^{4}-35t^{3}+13t^{3}$$
$$36t^{6}+74t^{4}-22t^{3}$$
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$$t^{2}\left(36t^{4}+74t^{2}-35t+13t\right)$$
$$t\left(36t^{3}+74t-22\right)$$
$$36t^{3}+74t-22$$
$$2\left(18t^{3}+37t-11\right)$$
$$2t^{2}t\left(18t^{3}+37t-11\right)$$