# Ch 15: Basic Polynomial Functions in Trigonometry: Help and Review

### About This Chapter

## 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 interpret the graphs of 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 basic 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 Basic 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 Basic Polynomial Functions in Trigonometry chapter exam to be prepared.**Get Extra Support**: Ask our subject-matter experts any 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:

- What terms are used to describe polynomial function?
- How do I evaluate a polynomial in function notation?
- How can I graph basic polynomial functions?
- What is the short- and long-run behavior of polynomials?
- How can I find intervals of polynomial functions?
- How do I graph higher-degree polynomials?
- What is Pascal's triangle?
- How can I define expressions using the binomial theorem?

### 1. Terminology of Polynomial Functions

Polynomial functions comprise various combinations of constants, variables, and exponents. Explore the terminology of polynomial functions, including words like coefficients, terms, and degree, then analyze a polynomial by putting it all together.

### 2. How to Evaluate a Polynomial in Function Notation

A polynomial is an algebraic expression that has more than one term and function notation is the way a function is written. In this lesson, explore how to evaluate or solve a polynomial in function notation.

### 3. Understanding Basic Polynomial Graphs

Understanding basic polynomial graphs requires knowing about their degrees and leading coefficients. Learn more about the implications of exponents and leading coefficients in polynomial graphs. Discover also how turning points are determined in graphing polynomials.

### 4. Finding Intervals of Polynomial Functions

Finding intervals of polynomial functions is an essential skill in precalculus. Define polynomial functions, explain how to find the solutions, discover how to find the intervals, and determine if the interval is positive or negative.

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

Polynomial functions are made up of terms composed of constants, variables, and exponents, and are extremely useful for a variety of reasons. Learn more about the short run and long run behavior of polynomials, study their definitions, and explore examples.

### 6. How to Graph Cubics, Quartics, Quintics and Beyond

Following the proper steps, the basic principles of graphing can be applied to cubics, quartics, quintics, and other polynomial functions. Learn more about basic graphing principles for polynomial functions, the importance of local maximums and minimums, and sketching for class on a graph through a detailed practice test question.

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

Pascal's triangle is a number pattern that identifies the coefficients of polynomial expansions. Learn the definition of Pascal's triangle and explore examples of its polynomial uses.

### 8. The Binomial Theorem: Defining Expressions

The binomial theorem is a mathematical formula used to expand two-term expressions raised to any exponent. Explore this explanation defining what binomial theorem is, why binomial theorem is used, and examples of how to find the leading coefficient and exponents for each term.

### 9. Dewey Decimal System: Definition, History & Example

This lesson will explain the Dewey Decimal System. The Dewey Decimal System is used to categorize books by subject to make placing new books or locating existing books in the library possible. It is essential to understand how the books are numbered to be able to use the library effectively.

### 10. Isometric View: Definition & Examples

Isometric view is a type of alignment that gives drawn objects their depth. Learn the definition of isometric view and then discover how to draw objects using isometric view through examples.

### Earning College Credit

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To learn more, visit our Earning Credit Page

### Other Chapters

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

- Real Numbers - Types and Properties: Help and Review
- Working with Linear Equations in Trigonometry: Help and Review
- Working with Inequalities in Trigonometry: Help and Review
- Absolute Value Equations in Trigonometry: Help and Review
- Working with Complex Numbers in Trigonometry: Help and Review
- Systems of Linear Equations in Trigonometry: Help and Review
- Mathematical Modeling in Trigonometry: Help and Review
- Introduction to Quadratics in Trigonometry: Help and Review
- Working with Quadratic Functions in Trigonometry: Help and Review
- Coordinate Geometry Review: Help and Review
- Functions for Trigonometry: Help and Review
- Understanding Function Operations in Trigonometry: Help and Review
- Graph Symmetry in Trigonometry: Help and Review
- Graphing with Functions in Trigonometry: Help and Review
- Higher-Degree Polynomial Functions in Trigonometry: Help and Review
- Rational Functions in Trigonometry: Help and Review
- Trig - Rational Expressions & Function Graphs: Help & Review
- Exponential & Logarithmic Functions in Trigonometry: Help and Review
- Trigonometric Functions: Help and Review
- Geometry in Trigonometry: Help and Review
- Triangle Trigonometry: Help and Review
- Working with Trigonometric Graphs: Help and Review
- Trigonometric Equations: Help and Review
- Working with Trigonometric Identities: Help and Review
- Applications of Trigonometry: Help and Review
- Analytic Geometry & Conic Sections in Trigonometry: Help and Review
- Vectors, Matrices & Determinants in Trigonometry: Help and Review
- Polar Coordinates & Parameterizations: Help and Review
- Circular Arcs, Circles & Angles: Help and Review
- TASC Math: Trigonometry