About This Chapter
The Exponents and Polynomials chapter of this College Algebra Help and Review course is the simplest way to master exponents and polynomials. This chapter uses simple and fun videos that are about five minutes long, plus lesson quizzes and a chapter exam to ensure students learn the essentials of exponents and polynomials.
Who's it for?
Anyone who needs help learning or mastering college algebra material will benefit from taking this course. There is no faster or easier way to learn college algebra. Among those who would benefit are:
- Students who have fallen behind in understanding exponential expressions and basic arithmetic operations with polynomials.
- 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 exponents and polynomials
- 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 exponents and polynomials 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 exponents and polynomials chapter exam to be prepared.
- Get Extra Support: Ask our subject-matter experts any exponents and polynomials question. They're here to help!
- Study With Flexibility: Watch videos on any web-ready device.
Students will review:
This chapter helps students review the concepts in an exponents and polynomials unit of a standard college algebra course. Topics covered include:
- The five main exponent properties
- Rational, zero and negative exponents
- Tips for simplifying exponential expressions
- Graphs of higher degree polynomials
- Methods for multiplying and dividing rational expressions
- Arithmetic operations with polynomials
1. 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!
2. 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!
3. 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!
4. Order of Magnitude: Definition & Examples
In this lesson, you will learn the definition of order of magnitude and how it is closely associated with scientific notation. You will also learn how to determine the quantity of orders of magnitude in numbers with interesting real-life examples. Following the lesson will be a brief quiz.
5. Order of Magnitude: Analysis & Problems
It is a wonderful skill to be able to estimate a numerical result without having to use a calculator or computer. In this lesson we show how to do this using the order of magnitude idea.
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Other chapters within the College Algebra: Help and Review course
- Basic Arithmetic
- Overview of Real Numbers
- Foundations and Linear Equations: Help and Review
- Overview of Linear Equations
- Matrices and Absolute Value: Help and Review
- Inequalities: Help and Review
- Using FOIL, Graphing Parabolas & Solving Quadratics to Factor: Help & Review
- Properties of Polynomial Functions
- Working with Quadratic Equations
- Complex Numbers: Help and Review
- Exponents and Exponential Expressions
- Overview of Exponents
- Algebraic Expressions and Equations
- Rational Expressions: Help and Review
- Working with Rational Expressions
- Math Expressions and Formulas
- Functions: Help and Review
- Exponentials and Logarithms: Help and Review
- Probability Mechanics: Help and Review
- Calculations, Ratios & Proportions
- Percent Notation
- Data, Statistics & Probability
- Sequences and Series: Help and Review
- Basic Number Sense and Operations
- Overview of Roots & Radical Expressions
- Overview of Continuity in Mathematics
- Overview of Mathematical Limits