About This Chapter
ASSET Intermediate Algebra: Factoring Polynomials - Chapter Summary
Go through the lessons in this chapter to examine how to factor in algebra more effectively. While you prepare for the ASSET Intermediate Algebra exam, you will also be able to review more details about:
- The definition of factoring
- Finding the prime factorization of a number
- Steps involved in factoring by grouping
- Finding the greatest common factor
- Polynomial expressions and methods for factoring them
- Using the area and FOIL methods
- Factoring perfect square trinomials
While you examine topics discussed in each lesson of this chapter, you will get a chance to see what the ASSET Intermediate Algebra exam will look like. Quizzes are also at your disposal if you are looking to assess your understanding of any math-related topic along the way.
ASSET Intermediate Algebra: Factoring Polynomials Chapter Objectives
The ASSET Intermediate Algebra test was put together so you could review algebra topics to help you identify your strengths. All of the material covered in this chapter can be found in the Intermediate Algebra and Coordinate Geometry section, which makes up 64% of the exam. All of the lessons give you the tools necessary to solve the types of problems that you will encounter on the actual exam. The quizzes can help you review topics you already know and introduce you to new material. Questions on this exam are multiple-choice, and a lot of them will have you look at equations and either solve them or analyze them correctly.
1. What is Factoring in Algebra? - Definition & Example
Factoring with ordinary numbers involves knowing that 6 is the product of 2 and 3. But what about factoring in algebra? In this lesson, we'll learn the essential elements of algebra factoring.
2. How to Find the Prime Factorization of a Number
The prime factorization of a number involves breaking that number down to its smallest parts. This lesson will show you two different ways to discover the prime factorization of any number.
3. How to Find the Greatest Common Factor
If the factors of a number are the different numbers that you can multiply together to get that original number, then the greatest common factor of two numbers is just the biggest one that both have in common. See some examples of what I'm talking about here!
4. Factoring By Grouping: Steps, Verification & Examples
How do you factor an expression if all the terms don't share a common factor? Grouping! In this lesson, we'll learn how to use grouping to help factor expressions.
5. Trinomials: Factoring, Solving & Examples
Trinomials can have different leading coefficients and therefore, have to be factored differently. Learn how to factor and solve any trinomial. Then, test your knowledge with a quiz.
6. Polynomial Functions: Properties and Factoring
Everything from projectile motion to trigonometric functions can be described by polynomials. Review factoring, polynomials and quadratic functions in this lesson.
7. Factoring Perfect Square Trinomials Practice Problems
A perfect square trinomial is a special form of trinomial that has a unique method for factoring it. We'll go over that method here and then cement it in your mind by working through a couple practice problems.
8. Factoring Polynomial Expressions
When it comes to factoring polynomials, there are several methods to choose from depending on what kind of polynomial you are looking at. Watch this video lesson to learn how to identify and use the appropriate method.
9. 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.
10. 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.
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Other chapters within the ASSET Intermediate Algebra Test: Practice & Study Guide course
- ASSET Intermediate Algebra: Graphing Basics
- ASSET Intermediate Algebra: Linear Equations
- ASSET Intermediate Algebra: Simplifying Radical Expressions
- ASSET Intermediate Algebra: Simplifying Rational Expressions
- ASSET Intermediate Algebra: Slope & Distance Formulas
- ASSET Intermediate Algebra: Linear Inequalities
- ASSET Intermediate Algebra Test Flashcards