E. AEP Task Consider the polynomial P(x) = x3 + 3x 1. Your goal is to find a zero of this function: i.e., a number a so that P(a) = 0. Although there is an algebraic technique for finding a zero of a cubic polynomial, we are going to approximate a zero. GOAL: We want to manually find an approximate value for a within 10'2 of the actual value of a. FIRST ALGORITHM: BISECTION METHOD I Question 1. III To begin, Show that the equation P(x) = 0 has at least one solution in the interval [1,1]. You must give a good justification that such a solution exists. One way to approximate a solution is to bisect the interval [1, 1] (Le. break it into two equal halves). Feel free to use DESMOS throughout this AEP to calculate P(x) as needed