8.6.0 Lesson Overview

In this lesson, you will begin to rewrite quadratic expressions from standard to factored form. You will look at expressions of the form $(x+m)(x+n)$ and $(x-m)(x-n)$ where $m$ and $n$ are positive.

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

• Explain how the numbers in a quadratic expression in factored form relate to the numbers in an equivalent expression in standard form.
• Rewrite a quadratic expression in standard form when given the quadratic expression in factored form.
• Rewrite a quadratic expression in factored form when given the quadratic expression in the form of $x^2+bx+c$.

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

• 8.6.1: Finding and Reasoning Unknown Factors
• 8.6.2: Using Diagrams to Understand Equivalent Expressions
  • 8.6.2: Self Check
  • 8.6.2: Additional Resources
• 8.6.3: Rewriting Quadratic Expressions in Standard Form
  • 8.6.3: Self Check
  • 8.6.3: Additional Resources
• 8.6.4: Finding the Missing Numbers in Pairs of Equivalent Expressions

After that, you’ll practice and review.

• 8.6.5: Practice
• 8.6.6: Lesson Summary