# Ch 15: Polynomial Function Basics in Precalculus

Strengthen your knowledge of polynomial function basics in precalculus with help from the expert instructors in this chapter. Take advantage of the ability to gauge your comprehension with self-assessment quizzes and a chapter exam.

## Polynomial Function Basics in Precalculus - Chapter Summary and Learning Objectives

Learning precalculus is a process that requires a lot of time and dedication. Sometimes, it helps to get assistance outside of your classroom to boost your comprehension and reinforce concepts. In this chapter are lessons designed to help you better understand polynomial function basics in precalculus. Take time to learn the terminology, definitions and mathematical operations associated with this subject area. Top instructors explore function notation, polynomial graphs and the behavior of polynomials. Also, closely examine Pascal's triangle and the binomial theorem.

To make your journey through this chapter simple, review the lessons as fun videos or full transcripts. Timelines are available that allow you to identify and skip to key topics within the videos without watching them in full. Review lessons in any sequence and as often as you'd like. At any time, feel free to test your knowledge of the subject matter by taking quizzes and a chapter exam. In no time, you will have a better grasp of:

• Terminology associated with polynomial functions and how to evaluate a polynomial in function notation
• Properties, factoring, exponential and simplifying polynomial functions
• How to understand basic polynomial graphs and find intervals of polynomial functions
• Short-run and long-run behavior of polynomials and how to graph cubics, quartics, quintics and beyond
• The definitions of Pascal's triangle and the binomial theorem

Video Objective
Terminology of Polynomial Functions Explain the meaning and terminology and explore examples of polynomial functions.
How to Evaluate a Polynomial in Function Notation Discuss the process of evaluating a polynomial in function notation.
Polynomials Functions: Properties and Factoring Describe how to use properties of quadratic functions and do simple factoring.
Polynomials Functions: Exponentials and Simplifying Identify and describe properties of exponentials, and discuss how to use them to simplify problems.
Understanding Basic Polynomial Graphs Study various ways to graph polynomials and polynomial functions.
Finding Intervals of Polynomial Functions Examine the process of finding the intervals on which the function's values are positive and negative.
Short Run & Long Run Behavior of Polynomials: Definition & Examples Understand the meaning and how to illustrate the short-run and long-run behavior of polynomials.
How to Graph Cubics, Quartics, Quintics and Beyond Learn how to graph cubics, quartics, quintics and more.
Pascal's Triangle: Definition and Use with Polynomials Discover the meaning and how to use Pascal's triangle.
The Binomial Theorem: Defining Expressions Find out the definition of binomial expressions used in the binomial theorem.

10 Lessons in Chapter 15: Polynomial Function Basics in Precalculus
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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