Copyright

Ch 33: MTTC Math (Secondary): Higher-Degree Polynomial Functions

About This Chapter

As you prepare for the MTTC Mathematics (Secondary) test, use this chapter to increase your skills solving mathematical operations with polynomials, graphing polynomials and factoring polynomials.

MTTC Math (Secondary): Higher-Degree Polynomial Functions - Chapter Summary

Watch these short, engaging lesson videos to improve your skills completing math problems with polynomials as part of your review for the MTTC Mathematics (Secondary) test. These lesson videos are taught by expert instructors who will walk you through example problems while explaining the processes use to:

  • Add, subtract, multiply and divide polynomials
  • Transform polynomial graphs
  • Complete operations with polynomials in multiple variables
  • Find solutions for higher degree polynomials
  • Factor polynomials
  • Use the remainder theorem and the factor theorem
  • Find rational zeros

These lesson videos are accompanied by lesson assessments that you can use to find out what topics you haven't mastered. Master your understanding of these topics by returning to the lesson videos via video tags that will take you straight to the areas of lessons that cover your areas of weakness. If at any time you develop a question regarding any of the topics covered, be sure to ask our instructors for clarification.

10 Lessons in Chapter 33: MTTC Math (Secondary): Higher-Degree Polynomial Functions
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!

Basic Transformations of Polynomial Graphs

2. 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.

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.

Solving Higher Degree Polynomials

7. Solving Higher Degree Polynomials

After watching this video lesson, you will be able to solve polynomials where the degree is three or higher. Learn the technique that you can use to solve any one of these polynomials.

Factoring Polynomials Using Quadratic Form: Steps, Rules & Examples

8. Factoring Polynomials Using Quadratic Form: Steps, Rules & Examples

Factoring a polynomial of degree 4 or higher can be a difficult task. However, some polynomials of higher degree can be written in quadratic form, and the techniques used to factor quadratic functions can be utilized.

Remainder Theorem & Factor Theorem: Definition & Examples

9. 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

10. 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.

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.

Other Chapters

Other chapters within the MTTC Mathematics (Secondary) (022): Practice & Study Guide course

Support