In this lesson, you will encounter quadratic expressions without a linear term and consider how to write them in factored form. We will begin by studying numerical examples and noticing that certain expressions are equivalent.

Remember for some digital tools, when you want to enter a number with an exponent, use the ^ symbol. It will look like "$x^2$" when you want to enter $x^2$. To make the ^ symbol, push shift and the numeral 6 at the same time.

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

• Explain why multiplying binomials that are a sum and a difference, $(x+m)(x-m)$, results in a quadratic expression with no linear term.
• Rewrite a quadratic expression of the form $x^2-c$ into its factored form.

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

• 8.8.1: Evaluating Expressions Using Mental Math
• 8.8.2: Recognizing the Expanded Product of the Difference of Two Squares
  • 8.8.2: Self Check
  • 8.8.2: Additional Resources
• 8.8.3: Factoring Quadratic Equations without a Linear Term
  • 8.8.3: Self Check
  • 8.8.3: Additional Resources
• 8.8.4: Determining if an Expression Can Be Rewritten in Factored Form

After that, you'll practice and review.

• 8.8.5: Practice
• 8.8.6: Lesson Summary