Let f(x) = x^33x+1. This polynomial has three distinct roots.

Let f(x) = x^3−3x+1. This polynomial has three distinct roots. Consider using the iteration function φ(x) = 1/3 (x^3 + 1) Which, if any, of the three roots can you compute with φ(x) and how would you choose x (0) for each computable root?