Question

Divide 6x^4+2x^3-6x^2-14x-1 by 3x+1

Answer 1

Using synthetic division, we find the result of the division
  (6x^4 +2x^3 -6x^2 -14x -1)/(3(x +1/3))
to be ...
  (6x^3 -6x -12)/3 +3/(3x +1)

The result is ...
  2x^3 -2x -4 +3/(3x+1)