Ch 38: THEA Test: Properties of Polynomial Functions

About This Chapter

In this chapter, you can rediscover the properties of polynomial functions by reviewing short and engaging video lessons. In no time, you will be ready to answer related questions on the THEA test in Texas.

THEA Test: Properties of Polynomial Functions - Chapter Summary

As you study for the THEA test, you can use the lessons in this chapter to better understand the properties of polynomial functions and make sure you're prepared to address the following on the exam:

  • Defining polynomials, binomials and quadratics
  • Adding, subtracting and multiplying polynomials
  • Dividing polynomials with long division
  • Using synthetic division to divide polynomials
  • Understanding operations with polynomials in several variables
  • Analyzing how to factor polynomial expressions
  • Graphing cubics, quartics, quintics and beyond

This chapter can give you the practice you need to perform the mathematical operations associated with polynomials on the exam. Expert instructors give you the quality insight you need, while presenting each lesson in an entertaining package.

THEA Test: Properties of Polynomial Functions Objectives

The THEA test is known as an Internet-Based Test (IBT) and is designed to gauge your comprehension of writing, reading and mathematics. Broken into three sections, you can take the test as one exam or one section at a time. This chapter prepares you to answer questions in the math section, which consists of 50 multiple-choice questions and requires a minimum score of 230 to pass.

You can review the lessons to ensure you're prepared to tackle polynomial functions on the exam. If you want to review specific sections of the lessons, simply use the timeline located below each video to skip to key topics. Self-assessment quizzes are available to gauge your comprehension of the lessons. Passing the math section of the test increases your chances of gaining admission to your Texas public college or university of choice.

8 Lessons in Chapter 38: THEA Test: Properties of Polynomial Functions
Test your knowledge with a 30-question chapter practice test
What are Polynomials, Binomials, and Quadratics?

1. What are Polynomials, Binomials, and Quadratics?

What do polynomials, binomials, and quadratics have in common? What are their differences? How can you identify each of them? Watch this video lesson to find the answers.

How to Add, Subtract and Multiply Polynomials

2. How to Add, Subtract and Multiply Polynomials

Adding, subtracting and multiplying polynomials are, basically, the same as adding, subtracting and multiplying numbers. They only difference is that we have a pesky variable to worry about, but this video will show you that's no problem, so no worries! This method has worked for many of my students, and I think it will work for you, too!

How to Divide Polynomials with Long Division

3. How to Divide Polynomials with Long Division

Arithmetic long division and polynomial long division are very similar. Yes, it's a long process, but once you have the rhythm you will get every problem correct!

How to Use Synthetic Division to Divide Polynomials

4. How to Use Synthetic Division to Divide Polynomials

Synthetic division is a 'short-cut' way of dividing a polynomial by a monomial. You still need to know long division, sorry, but this method is way fun when you're dividing by a monomial!

Dividing Polynomials with Long and Synthetic Division: Practice Problems

5. Dividing Polynomials with Long and Synthetic Division: Practice Problems

Let's look at some more polynomial division problems. We will use long division and synthetic division, but this time we will have a couple of more involved problems. So, get out some paper and a pencil and let's begin!

Operations with Polynomials in Several Variables

6. Operations with Polynomials in Several Variables

In this video lesson, you will learn how to handle and work with polynomials that have more than one variable. This is important because in math you sometimes have to work with several variables at the same time.

Factoring Polynomial Expressions

7. 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.

How to Graph Cubics, Quartics, Quintics and Beyond

8. How to Graph Cubics, Quartics, Quintics and Beyond

Finding the graph of a polynomial isn't too hard. If you can graph, you already know the major steps! With a couple rules and helpful memorizing tools, you will be graphing polynomials in no time!

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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Other Chapters

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