Question

(2x^3-6x-36)/(x-3)

Answer 1

Try synthetic division or long division according to your tastes.

Answer 2

I'd go with synthetic division, personally.

Answer 3

how do you do synthetic?

Answer 4

First recognize that 2x^3-6x-36 = 2x^3+0x^2-6x-36.
You'll need that zero as a place-holder.

Next set it up using only the coefficients of the polynomial as your 'dividend' and synthetically divide by k such that k=x when x-3 = 0. In other words, synthetically divide
2 0 -6 -36 by 3

Answer 5

Have you ever seen synthetic division before, or have you only used long division for polynomials?