T (-4t^3 + 8t^2)

polynomial

Not sure what the "T" is but if you were trying to solve or factor the parenthetical term:

-4t^2 (t-2) is the factored form and the zeros or solutions would be when:

t=0 and 2

If the "T" was a leading coefficient of "t" the above still holds true except:

-4t^3 (t-2), but the solutions are the same ...