Hi everybody, this is my first post here. I got this question, but I don't know what it means: Fix n ≥ 1. If the nth roots of 1 are w0, w1, w2, . . . , wn−1, show that they satisfy: (z − w0)(z − w1)(z - w2) · · · (z − wn−1) = z^n − 1 (z and wn are all complex numbers) What I don't understand is, what does it mean by "nth roots of 1"? I think by "roots" it means polynomial roots, but what does it mean to have a root of a number in this context? Any help would be appreciated.