Ch 10: Factoring & Solving Quadratic Equations

About This Chapter

Increase your competency in the area of factoring and solving quadratic equations, such as how to graph circles, complete the square, and multiply binomials using FOIL. If you are preparing for an exam, these concise, yet information-packed video lessons will give you the knowledge and confidence you need to excel.

Factoring & Solving Quadratic Equations - Chapter Summary

As you go through these lessons on factoring and solving quadratic equations, you can get a better understanding of what's involved in completing the square and graphing circles and using the quadratic formula. Expert instructors also explain how the FOIL method is used in reverse. By the end of the chapter, you should be ready to:

  • Solve polynomial problems that have a non-1 leading coefficient
  • Discuss the use of factoring to solve a quadratic equation
  • Recount how to solve quadratics that are not in standard form
  • Identify the center and radius when graphing circles
  • Describe what's involved in finding the equation of a circle
  • Outline use of the FOIL method to multiply binomials
  • Detail how to solve systems of equations involving circles, lines and parabolas

The engaging video lessons in this chapter can help to ensure you are fully adept at factoring and solving quadratic equations. A short quiz is available for each lesson to test your knowledge of the topics covered. You can even track your quiz results on your personal Dashboard. You can also print the lesson quizzes and use them as study worksheets.

11 Lessons in Chapter 10: Factoring & Solving Quadratic Equations
Test your knowledge with a 30-question chapter practice test
Multiplying Binomials Using FOIL and the Area Method

1. Multiplying Binomials Using FOIL and the Area Method

From the distributive property, to FOIL, to the area model, to happy faces and claws, there are many different ways to learn how to multiply binomials. In this lesson, you'll learn how to use all of them and get to pick which one you like the most.

How to Factor Quadratic Equations: FOIL in Reverse

2. 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.

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

3. 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 Complete the Square

4. 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.

Completing the Square Practice Problems

5. 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 Solve a Quadratic Equation by Factoring

6. 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!

How to Use the Quadratic Formula to Solve a Quadratic Equation

7. 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 Quadratics That Are Not in Standard Form

8. 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.

Graphing Circles: Identifying the Formula, Center and Radius

9. Graphing Circles: Identifying the Formula, Center and Radius

Discover how to graph circles by finding key information like the center and radius. Identify circles by simply looking at the formula, and vice versa.

How to Find the Equation of a Circle

10. How to Find the Equation of a Circle

There are two commonly used forms of equations for a circle, in this lesson we'll take a few minutes to examine and understand both forms, and be able to convert from one to the other.

Solving Systems of Equations Involving Lines, Circles & Parabolas

11. Solving Systems of Equations Involving Lines, Circles & Parabolas

This lesson provides instruction for how to solve systems of equations involving lines, circles and parabolas by graphing each on the coordinate plane and finding the points of intersection.

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.
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