how do you solve 3t^6-12t^5-351t^4 ?

Question

i dont wanna cheat i want to find out how to solve it

Answer 1

First step -- it equals (t*4) * (3t^2 - 12t - 351)

So it's 0 whenever either part of the product is 0.

I.e., there are three solutions -- t = 0, and the two solutions to the quadratic equation. I imagine you know a couple of different ways to solve the quadratic.