PROBLEM: Develop an algorithm, expressed as a NSD, that will find an estimate of the first positive root of a given polynomial f(x) within a certain degree of accuracy DOA using the Bisection Method. Determine an initial estimate of the first positive root within one unit interval. UseHorner's Method for evaluating f(x).
Questions:
• What is the best way of determining the values of a and b such that it contains the first positive root of f(x)?
• What is the best way of determining if the interval [a, b], where the first positive root lies, has been found?
• How are f(a), f(b), f(x) evaluated using the Horner's Method of evaluating a polynomial?
• How is the estimate of the root determined if it is not quite possible to determine an exact root?