Ch 15: Basic Polynomial Functions in Trigonometry: Tutoring Solution

About This Chapter

The Basic Polynomial Functions chapter of this High School Trigonometry Tutoring Solution is a flexible and affordable path to learning about polynomial functions. These simple and fun video lessons are each about five minutes long, and they teach all of the polynomial terms and graphing techniques required in a typical high school trigonometry course.

How it works:

  • Begin your assignment or other high school trigonometry work.
  • Identify the 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 Trigonometry Tutoring Solution will benefit any student who is trying to learn about polynomial function basics and earn better grades. This resource can help students, including those who:

  • Struggle with understanding leading coefficients and leading terms, the short- and long-run behavior of polynomials, Pascal's triangle, the binomial theorem or any other basic 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 polynomial functions unit
  • Cope with ADD or ADHD
  • Want to get ahead in high school trigonometry
  • Don't have access to their math teacher outside of class

Why it works:

  • Engaging Tutors: We make learning about basic 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 trigonometry tutor, these video lessons are thoroughly reviewed.
  • Convenient: Imagine a tutor as portable as your laptop, tablet or smartphone. Learn about basic polynomial functions on the go!
  • Learn at Your Pace: You can pause and re-watch lessons as often as you'd like, until you master the material.

Learning objectives

  • Learn the terminology associated with polynomial functions.
  • Discover how to evaluate polynomials in function notation.
  • Work with polynomial graphs and leading coefficients.
  • Find positive and negative intervals in polynomial functions.
  • Explore the short-run and long-run behavior of polynomials.
  • Learn how to graph quartics, quintics and cubics.
  • Define and use Pascal's triangle and the binomial theorem.

8 Lessons in Chapter 15: Basic Polynomial Functions in Trigonometry: Tutoring Solution
Test your knowledge with a 30-question chapter practice test
Terminology of Polynomial Functions

1. Terminology of Polynomial Functions

After watching this video lesson, you will be able to understand and use the words associated with polynomial functions like a pro. You will see words, such as leading coefficient, and you will immediately know what it is referring to.

How to Evaluate a Polynomial in Function Notation

2. How to Evaluate a Polynomial in Function Notation

This lesson will review how to evaluate polynomials in function notation. Along with an analogy to explain the process, examples will be given and worked during the lesson.

Understanding Basic Polynomial Graphs

3. 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.

Finding Intervals of Polynomial Functions

4. Finding Intervals of Polynomial Functions

Watch this video lesson to learn how you can find the intervals of a polynomial function. Also learn how to find out whether each interval is negative or positive.

Short Run & Long Run Behavior of Polynomials: Definition & Examples

5. Short Run & Long Run Behavior of Polynomials: Definition & Examples

Watch this video lesson to learn how you can use the graph of a polynomial to help you explain the polynomial function. Learn how to explain the behavior of the polynomial at the origin and at the far ends.

How to Graph Cubics, Quartics, Quintics and Beyond

6. 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!

Pascal's Triangle: Definition and Use with Polynomials

7. Pascal's Triangle: Definition and Use with Polynomials

Pascal's Triangle is defined and discussed briefly. Following the introduction to the triangle, its use in expanding polynomial powers is elaborated with examples.

The Binomial Theorem: Defining Expressions

8. 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.
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 High School Trigonometry: Tutoring Solution course

Support