9.4.7 Lesson Summary

In this lesson, you learned how to:

• Complete the square for quadratic expressions of the form $a{x}^2+bx+c$ when $a$ is not 1 and explain the process.
• Solve quadratic equations in which the squared term coefficient is not 1 by completing the square.

Here are the activities that helped you reach those goals:

• 9.4.1: Perfect Squares with Coefficients Other than 1
  • In this activity, you found the error when completing the square when the leading coefficient is not 1.
• 9.4.2: Rewrite Squared Expressions
  • In this activity, you determined if a quadratic expression was a perfect square. If it was not a perfect square, you made a suggestion that could make the expression a perfect square.
  • 9.4.2: Self Check
  • 9.4.2: Additional Resources
• 9.4.3: Standard Form and Squared Factors
  • In this activity, you found the value of $c$ to complete the square of the quadratic then wrote the quadratic in factored form.
  • 9.4.3: Self Check
  • 9.4.3: Additional Resources
• 9.4.4: Three Different Methods for Solving an Equation
  • In this activity, you explored three different methods for solving quadratic equations then used each method to solve an equation.
• 9.4.5: Perfect Square and Squared Factors
  • In this activity, you completed the square then solved the quadratic equation.

After these activities, you completed the following practice:

• 9.4.6: Practice