# Ch 15: Basic Polynomial Functions in Trigonometry: Homework Help

### About This Chapter

## How it works:

- Identify which concepts are covered on your basic polynomial functions homework.
- Find videos on those topics within this chapter.
- Watch fun videos, pausing and reviewing as needed.
- Complete sample problems and get instant feedback.
- Finish your basic polynomial functions homework with ease!

## Topics from your homework you'll be able to complete:

- Learning the terminology of polynomial functions
- Defining binomial expressions used in the binomial theorem
- Finding the intervals of polynomial functions
- Discovering the long run and short run behaviors of polynomials
- Learning how to graph first degree polynomials
- Graphing cubics, quintics and quartics

### 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.

### 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.

### 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.

### 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.

### 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.

### 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!

### 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.

### 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.

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### Other Chapters

Other chapters within the High School Trigonometry: Homework Help Resource course

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