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Ch 4: Solving Quadratic Equations & Functions

About This Chapter

This convenient online math chapter shows you how to solve quadratic equations and functions. Use the chapter's lessons and quizzes to get extra math practice, prepare for an exam, earn course credit or get ahead in class.

Solving Quadratic Equations & Functions - Chapter Summary

Work through this chapter at your own pace to get practice solving quadratic equations and functions. These simple and informative math lessons show you everything you need to know about the quadratic formula, factoring, completing the square and more. The chapter includes interactive self-assessment quizzes to help you practice solving these types of math problems. If you have any questions, feel free to submit them to our instructors online. You can also use any Internet-connected device to access the chapter. When you're finished, you should be able to:

  • Solve non-standard form quadratics
  • Use the quadratic formula
  • Apply factoring to solve quadratic equations
  • Factor quadratic equations using several methods
  • Explain the process of completing the square

10 Lessons in Chapter 4: Solving Quadratic Equations & Functions
Test your knowledge with a 30-question chapter practice test
Quadratic Functions: Examples & Formula

1. Quadratic Functions: Examples & Formula

Learn what sets quadratic functions apart from all other functions. Learn how you can spot a quadratic just by looking at its graph. Also learn the two formulas that will help you when working with them.

How to Solve Quadratics That Are Not in Standard Form

2. How to Solve Quadratics That Are Not in Standard Form

It isn't always the case that your equation will be set up nicely for you to solve. In this lesson, learn how to factor or use the quadratic formula to solve quadratic equations, even when they are not in standard form.

How to Write Quadratic Functions

3. How to Write Quadratic Functions

In the real world, you won't always be given equations as you are in textbooks. Often, you'll need to find equations using a few points or other pieces of data. Learn how to find and write quadratic equations.

How to Use the Quadratic Formula to Solve a Quadratic Equation

4. How to Use the Quadratic Formula to Solve a Quadratic Equation

When solving a quadratic equation by factoring doesn't work, the quadratic formula is here to save the day. Learn what it is and how to use it in this lesson.

How to Solve a Quadratic Equation by Factoring

5. How to Solve a Quadratic Equation by Factoring

If your favorite video game, 'Furious Fowls,' gave you the quadratic equation for each shot you made, would you be able to solve the equation to make sure every one hit its target? If not, you will after watching this video!

Factoring Quadratic Equations: Polynomial Problems with a Non-1 Leading Coefficient

6. Factoring Quadratic Equations: Polynomial Problems with a Non-1 Leading Coefficient

Once you get good at factoring quadratics with 1x squared in the front of the expression, it's time to try ones with numbers other than 1. It will be the same general idea, but there are a few extra steps to learn. Do that here!

How to Factor Quadratic Equations: FOIL in Reverse

7. How to Factor Quadratic Equations: FOIL in Reverse

So, you know how to multiply binomials with the FOIL method, but can you do it backwards? That's exactly what factoring is, and it can be pretty tricky. Check out this lesson to learn a method that will allow you to factor quadratic trinomials with a leading coefficient of 1.

Graphing Quadratic Functions by Factoring

8. Graphing Quadratic Functions by Factoring

To graph a quadratic function, it is very helpful to know the zeros of that function. One means of finding the zeros is to factor the function and then use the linear factors to solve for the zeros.

Completing the Square Practice Problems

9. Completing the Square Practice Problems

Completing the square is one of the most confusing things you'll be asked to do in an algebra class. Once you get the general idea, it's best to get in there and actually do a few practice problems to make sure you understand the process. Do that here!

How to Complete the Square

10. How to Complete the Square

Completing the square can help you learn where the maximum or minimum of a parabola is. If you're running a business and trying to make some money, it might be a good idea to know how to do this! Find out what I'm talking about here.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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