Solutions Manual to accompany An Introduction to Numerical Methods and Analysis, 3rd Edition

Chapter 2A SURVEY OF SIMPLE METHODS AND TOOLS

2.1 HORNER'S RULE AND NESTED MULTIPLICATION

Exercises:

1. Write each of the following polynomials in nested form.

   1. ;
   2. ;
   3. ;
   4. .

   Solution:

   1. ;
   2. ;
   3. ;
   4. .
2. Write each of the following polynomials in nested form, but this time take advantage of the fact that they involve only even powers of to minimize the computations.
   1. ;
   2. .
3. Write each of the following polynomials ...