Thread:HMcCoy/@comment-25501845-20151005153622

I came to a Tricky Question Lately, today. Could you Help a Bit? Or it would be nice I foyu can give me a Video topic related to it :P

Let f(x) = x 3 + ax2 + bx + c and g(x) = x 3 + bx2 + cx + a, where a, b, c are integers with c ≠ = 0. Suppose that the following conditions hold:

(a) f(1) = 0;

(b) the roots of g(x) = 0 are the squares of the roots of f(x) = 0.

Find the value of a^2013 + b^2013 + c^2013 . 