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Ch 16: Higher-Degree Polynomial Functions: Tutoring Solution

About This Chapter

The Higher-Degree Polynomial Functions chapter of this High School Precalculus Tutoring Solution is a flexible and affordable path to learning about higher-degree polynomial functions. These simple and fun video lessons are each about five minutes long and they teach all of the operations involving higher-degree polynomial functions required in a typical high school precalculus course.

How it works:

  • Begin your assignment or other precalculus work.
  • Identify the higher-degree polynomial functions concepts that you're stuck on.
  • Find fun videos on the topics you need to understand.
  • Press play, watch and learn!
  • Complete the quizzes to test your understanding.
  • As needed, submit a question to one of our instructors for personalized support.

Who's it for?

This chapter of our high school precalculus tutoring solution will benefit any student who is trying to learn higher-degree polynomial functions and earn better grades. This resource can help students including those who:

  • Struggle with understanding polynomial operations, quadratic form, remainder theorem, fundamental theorem of algebra or any other higher-degree polynomial functions topic
  • Have limited time for studying
  • Want a cost effective way to supplement their math learning
  • Prefer learning math visually
  • Find themselves failing or close to failing their higher-degree polynomial functions unit
  • Cope with ADD or ADHD
  • Want to get ahead in precalculus
  • Don't have access to their math teacher outside of class

Why it works:

  • Engaging Tutors: We make learning higher-degree polynomial functions simple and fun.
  • Cost Efficient: For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.
  • Consistent High Quality: Unlike a live precalculus tutor, these video lessons are thoroughly reviewed.
  • Convenient: Imagine a tutor as portable as your laptop, tablet or smartphone. Learn higher-degree polynomial functions on the go!
  • Learn at Your Pace: You can pause and rewatch lessons as often as you'd like, until you master the material.

Learning Objectives

  • Learn to solve polynomial equations and inequalities of degree greater than or equal to three.
  • Find out how to factor polynomials that can be written in quadratic form.
  • Study methods for adding, subtracting and multiplying polynomials.
  • Determine how to use synthetic division to divide polynomials.
  • Use the remainder theorem and factor theorem to find factors of polynomials.
  • Learn to factor polynomials using the rational zero theorem.
  • Understand how to determine the number of solutions a polynomial has based on the degree of a polynomial.

9 Lessons in Chapter 16: Higher-Degree Polynomial Functions: Tutoring Solution
Test your knowledge with a 30-question chapter practice test
Solving Higher Degree Polynomials

1. 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.

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!

Factoring Polynomials Using Quadratic Form: Steps, Rules & Examples

3. 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

4. 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

5. 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

6. 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

7. 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

8. 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

9. 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 Precalculus: Tutoring Solution course

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