Given that^2 is a zero of the cubic polynomial 6x3+2x2-10x-4^2, find its other two zeroes

Answer 1

what is ^2 ?
Do you mean √2 ?
If so, then you have

6x^3+2x^2-10x-4√2
That does not have x-√2 as a factor.

So, enlighten us as to your notation.