Assignment 3-Numerical Analysis for Computer Scientists

1. Consider the equation: x^7 + 8x^6 + 16x^5 = 0.
(a) (4 marks) Solve the equation using hand calculations. What is the order of
each root of the equation?
(b) (4 marks) Find an interval [a, b] such that the bisection method can be used
to find a solution of the equation. Justify your answer.