Note: For all the coding problems, use |Pn Pn-1| as a measure of accuracy in the iteration. Output all of the iterations. Choose appropriate initial guesses or interval by yourself if not provided Problem 1. (a) (10 points) Let f(x) (x + 2)(x + 1)x(x - 1)3(x 2). To which zero of f does the Bisection method converge when applied on the interval [-1.75, 1.5]? (b) (20 points) (programming) Write a program of Bisection method and use your pro- gram to find a solution accurate to within 10-2. = Note: For all the coding problems, use |Pn Pn-1| as a measure of accuracy in the iteration. Output all of the iterations. Choose appropriate initial guesses or interval by yourself if not provided Problem 1. (a) (10 points) Let f(x) (x + 2)(x + 1)x(x - 1)3(x 2). To which zero of f does the Bisection method converge when applied on the interval [-1.75, 1.5]? (b) (20 points) (programming) Write a program of Bisection method and use your pro- gram to find a solution accurate to within 10-2. =