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