1. (25pts) The Bisection method (a) Using the bisection method, find a zero of the following functions with an accuracy within 101: i. p4 - 213 - 4x3 + 4c +4=0, TE [-2, -1] ii. el = 4x, I E [0, 1] (b) Let f(x) = (x+2)(x+1)x(x-1) (x-2). To which zero of f does the Bisection method converge wen applied on the following intervals? i. [-3, 2.5) ii. [-2.5, 3] iii. [-1.75, 1.5] (c) Let us consider a function f which has only one zero in the interval [-2, 7]. How many iteration n are needed to approximate the zero within 10-5