Boudreaux and Thibodeaux aren't very good at math, so they need you to write a program that can determine the second degree polynomial used to generate a given sequence of three integers. As proof that you've figured out the polynomial, they want your program to print out the next 3 integers in the sequence.
You know that each sequence is generated by a polynomial of the form f(x) = Ax2 + Bx + C, where A, B, and C are integers in the range (-103 <= (A, B, C) <= 103). You are given the values f(0), f(1), f(2) and are to determine the values f(3), f(4), f(5).