Learning Resources

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Outcomes

In this lesson you will learn

  • to factor polynomials by removing a common factor
  • to factor the sum and difference of cubes
  • to factor quartic expressions that have a quadratic form
  • factor polynomials by grouping to find a common factor
  • factor polynomials by grouping to get the difference of two squares

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 to factor a trinomial of the form ax2 + bx + c by decomposition
  • how to recognize and remove common factors
  • the properties of perfect square trinomials
  • how to use the Rational Root Theorem and the Factor Theorem to find roots of polynomial equations
  • how to use a number line (sign graph) to solve polynomial inequalities