Learning Resources

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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