Show that the roots of the following polynomials are ill conditioned.(а) х3 — За2 + За — 1(Ъ) (» — 1)°(г — 2)(c) (x – 1)(x – 0.99)(x – 2)-

Given:The polynomials are:(i) (ii) (iii) Aim:To show that the polynomial is ill-conditioned.Concept…

Answered: Show that the roots of the following…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Show that the roots of the following polynomials are ill conditioned. (a) x³ − 3x² + 3x – 1 (b) (x − 1)³(x − 2) (c) (x − 1) (x – 0.99) (x − 2) - -