Consider the following real 3rd order polynomial
f (x)= x^3− 5.5 x^2− 5x+ 37.5
A) Use the bisection method to determine one of the roots,employing initial guesses of xl = - 10, xu = -1, and a stoppingcriterion εs=12% .
B) Use the false position method to determine a root, employinginitial guesses of xl = - 1, xu = 4, and a stopping criterionεs=3%. Was this method the best for these initial guesses?
C) Use the fixed point iteration to determine a root, employingan initial guess x0 = 7 and a stopping criterion εs=5%
D) Use the Newton-Raphson to determine a root, employing aninitial guess x0 = 7 and a stopping criterion εs=5%
Please please show all steps
Thank you
