Copyright

Ch 13: ILTS Mathematics: Polynomials

About This Chapter

Passing the ILTS Mathematics Test is one of the requirements to become a licensed math teacher in Illinois. This chapter, which covers polynomials, can help you study this specific tested area and possibly increase your success on Subarea III of the licensure test.

ILTS Mathematics: Polynomials - Chapter Summary

The information discussed in this chapter will help you practice your skills related to polynomials while possibly expanding your knowledge of the operations and processes in which polynomials are used. Topics reviewed in this chapter include:

  • The use of polynomials in operations
  • Rational roots theorem
  • Operations with polynomials in several variables
  • Polynomials graphs
  • Background information on polynomials
  • Factoring in algebra
  • Division, subtraction, and multiplication of polynomials

The practice questions found on the printable worksheets will help you practice these skills and utilize the instruction from the video lessons. This information will refresh your memory, enabling you to be better prepared for success on your test.

10 Lessons in Chapter 13: ILTS Mathematics: Polynomials
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.

What is Factoring in Algebra? - Definition & Example

2. 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.

Polynomial Functions: Properties and Factoring

3. 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.

How to Add, Subtract and Multiply Polynomials

4. 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!

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.

How to Use the Rational Roots Theorem: Process & Examples

7. How to Use the Rational Roots Theorem: Process & Examples

When it comes to solving polynomials, it can sometimes be easier to begin with a list of possible solutions to try. This video lesson tells you how to form a list of possible solutions by using the rational roots theorem.

Understanding Basic Polynomial Graphs

8. Understanding Basic Polynomial Graphs

This lesson will cover understanding basic polynomial graphs. The lesson focuses on how exponents and leading coefficients alter the behavior of the graphs.

Basic Transformations of Polynomial Graphs

9. Basic Transformations of Polynomial Graphs

The basic transformations for a graph are movement up and down, left and right, pinched or stretched graphs, and flipped graphs. This lesson will review how to accomplish each of these transformations.

Partial Fractions: How to Factorize Fractions with Quadratic Denominators

10. Partial Fractions: How to Factorize Fractions with Quadratic Denominators

Adding fractions with different denominators is something you probably learned how to do in algebra. In this lesson, learn how to do the opposite: take a complicated fraction and turn it into two simpler ones.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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.

Support