6.5.0 Lesson Overview

In this lesson, you will learn many different methods to factor a trinomial. You will learn to use these techniques at different times to factor many different types of trinomials. After the lesson, you will be able to select the best method for you to be able to factor a given trinomial. The factoring skills that you gain in these lessons will allow you to move on to master more complicated concepts in the future!

When you finish this lesson, you will be able to:

• Factor trinomials of the form $x^2+bx+c$.
• Factor trinomials of the form $a{x}^2+bx+c$ using trial and error.
• Factor trinomials of the form $a{x}^2+bx+c$ using the “$ac$” method.
• Factor trinomials using substitution.

Here are the activities that will help you reach those goals:

• 6.5.1: Undoing FOIL
• 6.5.2: Factoring Trinomials with Leading Coefficients of 1
  • 6.5.2: Self Check
  • 6.5.2: Additional Resources
• 6.5.3: Factoring Trinomials Using Trial and Error
  • 6.5.3: Self Check
  • 6.5.3: Additional Resources
• 6.5.4: Factoring Trinomials Using the “$ac$” Method and Substitution
  • 6.5.4: Self Check
  • 6.5.4: Additional Resources
• 6.5.5: Choosing Your Own Method to Factor Trinomials

After that, you’ll practice and review.

• 6.5.6: Practice
• 6.5.7: Lesson Summary