Find two initial values from which Newton's method fails to solve x(x - 1)(x + 1) =

Question:

Find two initial values from which Newton's method fails to solve x(x - 1)(x + 1) = 0. Which starting points converge to a negative solution?
As mentioned in the text, although Newton's method works incredibly well most of the time, it can perform poorly or even fail in many circumstances. For each of the following, graph the function and illustrate the above problem.