(3x3-4x2 -x+6) Divide By (x-2)

its 9three x cubed negative 4 xsquare -x+6) divide by (x-2)

It's 3x^2 + 2x + 3 with remainder 12

If you meant 3x^3 - 4x^2 - x - 6 then the quotient is

3x^2 + 2x + 3