Ch 18: High School Algebra - Properties of Polynomial Functions: Tutoring Solution

About This Chapter

The Properties of Polynomial Functions chapter of this High School Algebra I Tutoring Solution is a flexible and affordable path to learning about properties of polynomial functions. These simple and fun video lessons are each about five minutes long and they teach all of the operations involving polynomial functions required in a typical high school algebra I course.

How it works:

  • Begin your assignment or other high school algebra I work.
  • Identify the properties of 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 algebra I tutoring solution will benefit any student who is trying to learn properties of polynomial functions and earn better grades. This resource can help students including those who:

  • Struggle with understanding how to graph cubics, multiply polynomials, use long division to divide polynomials, subtract polynomials, graph quartics or any other properties of 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 properties of polynomial functions unit
  • Cope with ADD or ADHD
  • Want to get ahead in high school algebra I
  • Don't have access to their math teacher outside of class

Why it works:

  • Engaging Tutors: We make learning properties of 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 high school algebra I tutor, these video lessons are thoroughly reviewed.
  • Convenient: Imagine a tutor as portable as your laptop, tablet or smartphone. Learn properties of 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

  • Graph cubics, quatrics, quintics and beyond.
  • Add, subtract and multiply polynomials.
  • Use long division and synthetic division to divide polynomials.
  • Perform operations on polynomials in several variables.

7 Lessons in Chapter 18: High School Algebra - Properties of Polynomial Functions: Tutoring Solution
Test your knowledge with a 30-question chapter practice test
How to Graph Cubics, Quartics, Quintics and Beyond

1. How to Graph Cubics, Quartics, Quintics and Beyond

Finding the graph of a polynomial isn't too hard. If you can graph, you already know the major steps! With a couple rules and helpful memorizing tools, you will be graphing polynomials in no time!

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!

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.

Confounding Variable: Definition & Example

7. Confounding Variable: Definition & Example

Confounded again! This lesson is about variables that send a confusing message. Learn about confounding variables, what they are, and how to prepare for them in the design of your study.

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 Algebra I: Tutoring Solution course