How to solve a polynomial of the form y = ax^3 + bx^2 + cx + d using the incremental algorithm in computer graphics
You have f(x). Let g(x) = f(x+1) - f(x). Let h(x) = g(x+1) - g(x). Let k(x) = h(x+1) - h(x). It turns out that k(x) is a constant. 

Calculate f(x), g(x), h(x) and k(x) for x = 1. Then you calculate f(x+1) = f(x) + g(x), g(x+1) = g(x) + h(x), h(x+1) = h(x) + k(x), and k(x) is a constant.