8.9.6 Lesson Summary

In this lesson, you learned how to:

• Rearrange a quadratic equation to be written as expression in factored form $=0$ and find the solutions.
• Recognize quadratic equations that have zero, one, or two solutions when they are written in factored form.

Here are the activities that helped you reach those goals:

• 8.9.1: Finding a Solution through Substitution
  • In this activity, you tried to find the solution to a quadratic equation by guessing and checking. You substituted a value in for $x$ to determine whether the equation was true.
• 8.9.2: Using Factored Form and the Zero Product Property to Solve Quadratic Equations
  • In this activity, you practiced setting an equation equal to 0 before finding its factored form. Then you used the zero product property on the factored form to solve the quadratic equation.
  • 8.9.2: Self Check
  • 8.9.2: Additional Resources
• 8.9.3: Writing an Equation to Represent a Quadratic Function with Only One Solution
  • In this activity, you learned the relationship between the number of solutions found in the factored form of a quadratic function and the number of zeros on the graph of the same quadratic function. You used this relationship to make predictions about the quadratic function.
  • 8.9.3: Self Check
  • 8.9.3: Additional Resources
• 8.9.4: Solving More Quadratic Equations
  • In this activity, you continued to practice solving quadratic equations as you became more familiar with their factored form and the zero product property.

After these activities, you completed the following practice:

• 8.9.5: Practice