In this lesson, you will consider how to rewrite expressions in standard form where the leading coefficient is not 1 and the expression is not a difference of two squares.

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

• Use the factored form of a quadratic expression or a graph of a quadratic function to answer questions about a situation.
• Write equivalent expressions in factored form when given quadratic expressions of the form $a{x}^2+bx+c$ and $a$ is not 1.

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

• 8.10.1: Analyzing Various Quadratic Expressions
• 8.10.2: Working with Quadratic Factored Form with Leading Coefficient Other Than One
  • 8.10.2: Self Check
  • 8.10.2: Additional Resources
• 8.10.3: Using Technology to Find Rational Factors
  • 8.10.3: Self Check
  • 8.10.3: Additional Resources
• 8.10.4: Finding the Factors of Quadratic Expressions in Standard Form
  • 8.10.4: Self Check
  • 8.10.4: Additional Resources
• 8.10.5: Solving Quadratic Equations by Any Method

After that, you'll practice and review.

• 8.10.6: Practice
• 8.10.7: Lesson Summary