Outcomes
In this lesson you will learn
- the Rational Root Theorem
- the Factor Theorem
- the process of synthetic substitution
By the end of this section students will be able to:
- analyze relations, functions and their graphs
- use tables and graphs as tools to interpret expressions
- analyze and solve polynomial, rational, irrational, absolute value and trigonometric equations
- analyze and solve polynomial, rational, irrational and absolute inequalities
- model real-world phenomena with a variety of functions/relations
- determine the equations of polynomial and rational functions
- factor polynomial equations
Prerequisites
To be successful in this lesson, it would be helpful to know the following:
- how the roots of an equation determine the x-intercepts of the corresponding graph which, in turn, determine the shape of the graph
- the mathematical process of long division
- the relationship between the roots of a polynomial equation, the x-intercepts of its graph and the factors. of the equation
- methods for solving polynomial inequalities
- the definition of a rational number