Pease explain and show your work:

2. Let f(x) = x - x3 + x' -3x -6 and d(x) = x2 + 3. (a) (6 points) Use long division to find q(r) and r(r) such that f(x) = d(x)q(r) +r(x).(b) (8 points) Use part (a) to determine the complex roots of f(x). How many real zeros does f have