8.7.0 Lesson Overview

In this lesson, you will extend your knowledge of transforming quadratic expressions from standard form into factored form. You will continue factoring with expressions that can be rewritten as products of a sum and a difference, $(x+m)(x-n)$.

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

• Explain how the numbers and signs in a quadratic expression in factored form relate to the numbers and signs in an equivalent expression in standard form.
• Write an equivalent expression in factored form, given a quadratic expression in standard form with a negative constant term.

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

• 8.7.1: Understanding Sums and Products of Integers
• 8.7.2: Interpreting Negative Constant Terms When Factoring Quadratic Expressions
  • 8.7.2: Self Check
  • 8.7.2: Additional Resources
• 8.7.3: Analyzing Factors of 100 and –100
  • 8.7.3: Self Check
  • 8.7.3: Additional Resources
• 8.7.4: Finding the Missing Terms

After that, you’ll practice and review.

• 8.7.5: Practice
• 8.7.6: Lesson Summary