# Ch 14: GRE - FOIL, Parabolas & Quadratics: Help & Review

### About This Chapter

## Who's it for?

Anyone who needs help learning or mastering GRE exam material will benefit from taking this course. There is no faster or easier way to acquire the skills needed to take the GRE exam. Among those who would benefit are:

- Students who have fallen behind in understanding how to use the quadratic formula, factor equations or graph parabolas
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of learning math (visual or auditory)
- Students who have missed class time and need to catch up
- Students who need an efficient way to learn about factoring with FOIL, graphing parabolas and solving quadratics
- Students who struggle to understand their teachers
- Students who attend schools without extra math learning resources

## How it works:

- Find videos in our course that cover what you need to learn or review.
- Press play and watch the video lesson.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Verify you're ready by completing the Factoring with FOIL, Graphing Parabolas and Solving Quadratics chapter exam.

## Why it works:

**Study Efficiently:**Skip what you know, review what you don't.**Retain What You Learn:**Engaging animations and real-life examples make topics easy to grasp.**Be Ready on Test Day:**Use the Factoring with FOIL, Graphing Parabolas and Solving Quadratics chapter exam to be prepared.**Get Extra Support:**Ask our subject-matter experts any question about factoring with FOIL, graphing parabolas and solving quadratics. They're here to help!**Study With Flexibility:**Watch videos on any web-ready device.

## Students will review:

This chapter helps students review the concepts in a factoring with FOIL, graphing parabolas and solving quadratics unit of a standard GRE prep course. Topics covered include:

- Multiplying binomials with the FOIL and the area method
- Using the quadratic formula to solve a quadratic equation
- Factoring to solve a quadratic equation
- Solving quadratics that aren't in standard form
- Understanding parabolas in standard, intercept and vertex form
- Completing the square
- Using FOIL in reverse

### 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.

### 2. Multiplying Binomials Using FOIL & the Area Method: Practice Problems

There are a few mistakes that are easy to make when multiplying binomials with FOIL and also a few ways to complicate problems like this, so why not make sure you're brushed up on your skills? You'll also learn a shortcut and how to use the area method to multiply even bigger polynomials.

### 3. 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.

### 4. 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!

### 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. 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.

### 7. Parabolas in Standard, Intercept, and Vertex Form

By rearranging a quadratic equation, you can end up with an infinite number of ways to express the same thing. Learn about the three main forms of a quadratic and the pros and cons of each.

### 8. 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.

### 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!

### 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 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.

### 12. Writing Standard-Form Equations for Parabolas: Definition & Explanation

The standard form equation for parabolas is one of the two ways to write parabola equations. Learn what the other one is and how it comes into play when writing standard form equations for parabolas.

### Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

### Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

### Other Chapters

Other chapters within the GRE Prep: Help and Review course

- GRE Verbal Reasoning - Reading Skills: Help and Review
- GRE Verbal Reasoning - Vocabulary Skills: Help and Review
- GRE Analytical Writing - Crafting Your Argument: Help and Review
- GRE Analytical Writing - Planning Your Essay: Help and Review
- GRE Analytical Writing - Starting Your Essay: Help and Review
- GRE Analytical Writing - Writing the Essay Body: Help and Review
- GRE Analytical Writing - Editing Your Essay: Help and Review
- GRE Analytical Writing - Writing Technique: Help and Review
- GRE Analytical Writing - Writing Stronger Sentences: Help and Review
- GRE Analytical Writing - Grammar and Usage: Help and Review
- GRE Quantitative Reasoning - Numbers and Operations: Help and Review
- GRE Quantitative Reasoning - Sequences and Series: Help and Review
- GRE - Equations and Expressions: Help and Review
- GRE Quantitative Reasoning - Exponents: Help and Review
- GRE Quantitative Reasoning - Functions: Help and Review
- GRE - Rational Equations & Expressions: Help & Review
- GRE Quantitative Reasoning - Inequalities: Help and Review
- GRE Quantitative Reasoning - Plane Geometry: Help and Review
- GRE Quantitative Reasoning - Coordinate Geometry: Help and Review
- GRE - Probability & Statistics: Help & Review
- GRE Quantitative Reasoning - Sets: Help and Review