Suppose there is a polynomial p(x) = (x p) (x - e)(x ) where is the golden ratio, e is the natural exponential base, and is, well, . This poly- nomial has 3 roots. a.) What will happen if you run the Bisection algorithm with initial interval [a, b] = [0, 4]? Do a few iterations of the algorithm by hand to support your conclusion. b.) Find an interval [a, b] which still contains all zeros to p(x), for which the Bisection al- gorithm would converge to x = T. Support your answer by running the Bisection algorithm and reporting the results. No code needed, just report the results and discuss to support your answer. c.) Write a MATLAB script that will use the Bisection algorithm to find all three roots to this equation by using several intervals instead of just 1.