About This Chapter
Solving & Factoring Quadratic Equations - Chapter Summary
Learning how to effectively solve and factor quadratic equations is important to know for a comprehensive knowledge of math. Specific topics you will visit in this chapter include the definition of a parabola and examples of quadratic equations. In this chapter, we will cover the following topics:
- Where parabolas are found
- Information about equations
- Methods to solving quadratics
- Quadratic formula
- Solving quadratics in any form
- Steps for solving quadratic inequalities
- Quadratic trinomials
- Relationship between binomials and the FOIL method
- Extra steps for solving quadratic equations with other numbers
- Ways to complete a square
Feel more confident in your math solving abilities when you work through these short, engaging video lessons. If you want extra assistance, it's easy to reach out to our instructors. They will be happy to walk you through any issues you have.
1. What is a Parabola?
A parabola is the U shape that we get when we graph a quadratic equation. We actually see parabolas all over the place in real life. In this lesson, learn where, and the correct vocab to use when talking about them.
2. What is a Quadratic Equation? - Definition & Examples
You might be surprised to learn that quadratic equations are an important part of the world we live in. We sometimes even make use of them for our entertainment! Watch this video lesson to learn more about these equations.
3. Solving Quadratics: Assigning the Greatest Common Factor and Multiplication Property of Zero
When it comes to solving quadratics, we have at our disposal several methods. Watch this video lesson to learn one such method you can use to solve quadratics that don't have a constant term.
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.
5. 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.
6. Solving Quadratic Inequalities Using Two Binomials
Watch this video lesson to learn what simple steps you can take to solve quadratic inequalities using two binomials. See how it only requires a few steps to solve quadratic inequalities using this method.
7. 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!
8. Solving Quadratic Trinomials by Factoring
Factoring is a quick and easy way to find the solutions to a quadratic trinomial. Watch this video lesson to learn how you can use this method to solve your quadratics.
9. 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.
10. 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!
11. 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.
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- Earth's Spheres & Internal Structure
- Basics of Plate Tectonics
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