Table of Contents

Chapter 1

If a rational number c/d, is factored to its lowest terms, is a solution to the equation, then c is a factor of the constant term of the polynomial and d is a factor of the leading coefficient of the polynomial.

In the polynomial;

where the coefficients                                 are integers.

If a rational number c/d, is factored to its lowest terms, is a solution to the equation, then c is a factor of the constant term of the polynomial and d is a factor of the leading coefficient of the polynomial.

EXAMPLE:

find solutions to the equation:

Polynomial Functions

THE RATIONAL

ROOT THEOREM

Use synthetic division to find a factor for the polynomial:

NOTE:

(x - c/d) is factor of the polynomial if the remainder is zero.

Try the integers first;