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Ch 16: NES Math: Polynomials

About This Chapter

Let us help you review information on polynomials, including operations, graphs and theorems. These lively lessons, along with our other study aids, can help you get ready for these types of questions on the NES Math test.

NES Math: Polynomials - Chapter Summary

These video lessons offer a thorough refresher program in working with polynomials. Get ready for the NES Math test by reviewing topics including:

  • Addition, subtraction, multiplication and long division with polynomials
  • The remainder and factor theorems
  • How to find rational zeroes
  • Fundamental theorem of algebra
  • Basic polynomial graphs and basic transformations
  • The binomial theorem

Our instructors use humor and plenty of real world examples to make these short lessons fun and informative. You can watch them as your schedule permits, on a computer, smartphone or tablet. Lesson quizzes let you gauge your learning, and every video includes a Timeline with clickable links that enable you to jump back to specific parts of the lesson you need to review.

NES Math: Polynomials - Chapter Objectives

Passing the NES Math test is one of the requirements for certification to teach math at the secondary level in several states. The test's questions are in five content domains, and questions on polynomials are in the Patterns, Algebra and Functions content domain. This is the largest content domain on the test, accounting for 24% of the total score.

All questions on the NES Math test are multiple-choice and administered by computer. Our lesson quizzes and the chapter exam are also in this format, so completing them will give you an idea of what you'll encounter on test day, in addition to providing an assessment of your subject knowledge.

10 Lessons in Chapter 16: NES Math: Polynomials
Test your knowledge with a 30-question chapter practice test
How to Add, Subtract and Multiply Polynomials

1. 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!

Operations with Polynomials in Several Variables

2. 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 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!

Remainder Theorem & Factor Theorem: Definition & Examples

5. Remainder Theorem & Factor Theorem: Definition & Examples

In this lesson, you will learn about the remainder theorem and the factor theorem. You will also learn how to use these theorems to find remainders and factors of polynomials.

Finding Rational Zeros Using the Rational Zeros Theorem & Synthetic Division

6. Finding Rational Zeros Using the Rational Zeros Theorem & Synthetic Division

After completing this lesson, you will know what the rational zeros theorem says. You will also know how to apply this theorem to find zeros of polynomial functions.

Fundamental Theorem of Algebra: Explanation and Example

7. Fundamental Theorem of Algebra: Explanation and Example

In this lesson, you will learn what the Fundamental Theorem of Algebra says. You will also learn how to apply this theorem in determining solutions of polynomial functions.

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.

The Binomial Theorem: Defining Expressions

10. The Binomial Theorem: Defining Expressions

In this lesson, students will learn the binomial theorem and get practice using the theorem to expand binomial expressions. The theorem is broken down into its parts and then reconstructed.

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.
Not Taken

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Other Chapters

Other chapters within the NES Mathematics (304): Practice & Study Guide course

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