Polynomial Equations (Equations of Higher Degree)

This chapter discusses methods for solving higher degree polynomial equations.

In the study of polynomial equations, the most important thing is to understand what "solution of an equation" means. For equations of higher degree, allow for many solutions. The maximum number of solutions you can get is the degree of the polynomial.

After you finish this chapter, you should be able to use a Computer Algebra System to find solutions, either...

(a) Graphically, or
(b) Using the CAS directly.

Applications of Root Finding:

• modelling
• curve fitting
• instrumentation
• ecological and industrial safety
• industrial maintenance and control problems

In this Chapter

• 1. Polynomial Functions and Equations
• 2. Remainder and Factor Theorems
• 3. Factors and Roots of Polynomial Equations

We begin by defining polynomials and showing how to find roots of a polynomial in 1. Polynomial Functions and Equations »