دوره GRE Test- Practice & Study Guide ، فصل 18 : GRE Quantitative Reasoning- Factoring with FOIL, Graphing Parabolas and Solving Quadratics

درباره‌ی این فصل:

Review elements of factoring and solving quadratics to prepare for the Graduate Record Exam (GRE). Video lessons and quizzes incorporate elements of the quantitative reasoning section in a simple and clear manner.

GRE Quantitative Reasoning: Factoring with FOIL, Graphing Parabolas and Solving Quadratics - Chapter Summary

Improve your understanding of quadratic equations and methods of solving them with our GRE training lessons. Videos cover algebraic concepts found on the quantitative reasoning part of the GRE. Lessons specifically address subjects such as:

Binomials

The FOIL method

The area method

Quadratic equations

Completing the square

Parabolas

In addition to offering instruction in these areas, the lectures in this chapter include corresponding quizzes and, in some cases, practice problems to let you gauge your comprehension of the material. Each subject is broken down into a short video lesson to help you grasp the concepts and score well on the GRE.

GRE Quantitative Reasoning Objectives

The GRE is used to evaluate students’ capacity to undertake graduate-level study. The test’s quantitative reasoning section accounts for approximately one-third of the total exam. Our factoring and quadratics lessons address areas covered in this segment of the actual GRE. Some particular topics addressed are:

Using the FOIL (firsts, outsides, insides, lasts) method to multiply binomials

Multiplying binomials with the area method

Understanding the quadratic formula

Employing factoring to solve quadratic equations

Transitioning non-standard quadratic equations into standard form

Identifying different types of parabolas

Understanding how to transfer a standard-form quadratic equation into vertex form (i.e., complete the square)

The GRE’s quantitative reasoning component incorporates both multiple-choice questions and problems that ask you to calculate and enter a numeric answer. Subjects covered include data analysis, geometry, algebra, and arithmetic.

این مجموعه تلوزیونی شامل 11 فصل زیر است:

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.

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.

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.

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!

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.

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.

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.

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 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!

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!

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.

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