About This Chapter
Who's it for?
Anyone who needs help learning or mastering high school algebra I material will benefit from taking this course. There is no faster or easier way to learn high school algebra I. Among those who would benefit are:
- Students who have fallen behind in understanding polynomial functions' properties and how to complete 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 the properties of 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 properties of polynomial functions 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 properties of polynomial functions chapter exam to be prepared.
- Get Extra Support: Ask our subject-matter experts any properties of polynomial functions 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 a properties of polynomial functions unit of a standard high school algebra I course. Topics covered include:
- Adding, subtracting and multiplying polynomials
- Using long division and synthetic division to divide polynomials
- Performing operations with polynomials in several variables
- Graphing cubics, quartics, quintics and beyond
1. 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!
2. 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!
3. How to Divide Polynomials with Long Division
Arithmetic long division and polynomial long division are very similar. Yes, it's a long process, but once you have the rhythm you will get every problem correct!
4. 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!
5. 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!
6. Operations with Polynomials in Several Variables
In this video lesson, you will learn how to handle and work with polynomials that have more than one variable. This is important because in math you sometimes have to work with several variables at the same time.
7. Concave Up: Definition, Function & Graph
Concavity describes the shape of a graph, or function. In this lesson, learn about how a concave up shape relates to acceleration and to the second derivative in calculus.
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Other chapters within the High School Algebra I: Help and Review course
- High School Algebra - Basic Arithmetic: Help and Review
- High School Algebra - Solving Math Word Problems: Help and Review
- High School Algebra - Decimals and Fractions: Help and Review
- High School Algebra - Percent Notation: Help and Review
- High School Algebra - Real Numbers: Help and Review
- High School Algebra - Exponential Expressions & Exponents: Help & Review
- High School Algebra - Radical Expressions: Help and Review
- Algebraic Equations and Expressions: Help and Review
- High School Algebra - Properties of Functions: Help and Review
- High School Algebra - Matrices and Absolute Value: Help and Review
- High School Algebra - Working With Inequalities: Help and Review
- High School Algebra - Properties of Exponents: Help and Review
- High School Algebra - Complex and Imaginary Numbers: Help and Review
- High School Algebra - Algebraic Distribution: Help and Review
- High School Algebra - Linear Equations: Help and Review
- High School Algebra - Factoring: Help and Review
- Factoring & Graphing Quadratic Equations: Help & Review
- High School Algebra - Rational Expressions: Help and Review
- High School Algebra - Cubic Equations: Help and Review
- High School Algebra - Quadratic Equations: Help and Review
- High School Algebra - Measurement and Geometry: Help and Review
- Ratios, Proportions & Percent in Algebra: Help & Review
- Statistics, Probability and Data in Algebra: Help and Review
- High School Algebra - Well-Known Equations: Help and Review