Ch 16: Higher-Degree Polynomial Functions in Trigonometry: Help and Review

About This Chapter

The higher-degree polynomial functions chapter of this High School Trigonometry Help and Review course is the simplest way to master higher-degree polynomial functions. This chapter uses simple and fun videos that are about five minutes long, plus lesson quizzes and a chapter exam to ensure students learn the essentials of higher-degree polynomial functions.

Who's it for?

Anyone who needs help learning or mastering high school trigonometry material will benefit from taking this course. There is no faster or easier way to learn high school trigonometry. Among those who would benefit are:

  • Students who have fallen behind in understanding how to factor and solve higher-degree polynomial functions
  • Students who struggle with learning disabilities or learning differences, including autism and ADHD
  • Students who prefer multiple ways of learning math (visual or auditory)
  • Students who have missed class time and need to catch up
  • Students who need an efficient way to learn about higher-degree polynomial functions
  • Students who struggle to understand their teachers
  • Students who attend schools without extra math learning resources

How it works:

  • Find videos in our course that cover what you need to learn or review.
  • Press play and watch the video lesson.
  • Refer to the video transcripts to reinforce your learning.
  • Test your understanding of each lesson with short quizzes.
  • Verify you're ready by completing the Higher-Degree Polynomial Functions in Trigonometry chapter exam.

Why it works:

  • Study Efficiently: Skip what you know, review what you don't.
  • Retain What You Learn: Engaging animations and real-life examples make topics easy to grasp.
  • Be Ready on Test Day: Use the Higher-Degree Polynomial Functions in Trigonometry chapter exam to be prepared.
  • Get Extra Support: Ask our subject-matter experts any higher-degree polynomial functions question. They're here to help!
  • Study With Flexibility: Watch videos on any web-ready device.

Students will review:

In this course, you'll learn the answers to questions including:

  • How can I solve polynomials of a degree greater than or equal to three?
  • How do I add, subtract and multiply polynomials?
  • What is quadratic form?
  • How can I divide polynomials with long and synthetic division?
  • How do I apply the remainder and factor theorems?
  • What is the rational zeros theorem?
  • What is the fundamental theorem of algebra?

8 Lessons in Chapter 16: Higher-Degree Polynomial Functions in Trigonometry: Help and Review
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!

Factoring Polynomials Using Quadratic Form: Steps, Rules & Examples

2. 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.

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.

Dividing Polynomials with Long and Synthetic Division: Practice Problems

6. 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!

Finding Rational Zeros Using the Rational Zeros Theorem & Synthetic Division

7. 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

8. 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.

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

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Other Chapters

Other chapters within the High School Trigonometry: Help and Review course

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