About This Chapter
How it works:
- Identify which concepts are covered on your polynomials 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 polynomials homework with ease!
Topics from your homework you'll be able to complete:
- Evaluating a polynomial in function notation
- Understanding rudimentary polynomial graphs
- Transforming polynomial graphs
- Graphing cubics, quartics and quintics
- Adding, subtracting and multiplying polynomials
- Pascal's triangle
- Binomial theorem
- Using long division to divide polynomials
- Using synthetic division to divide polynomials
- Polynomial operations with several variables
1. 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.
2. 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.
3. Basic Transformations of Polynomial Graphs
The basic transformations for a graph are movement up and down, left and right, pinched or stretched graphs, and flipped graphs. This lesson will review how to accomplish each of these transformations.
4. 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!
5. 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!
6. 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.
7. 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.
8. 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!
9. 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!
10. 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!
11. 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.
12. How to Solve x^2 - 6x = 16
This lesson will go over the steps to solve the equation x^2 - 6x = 16. We will examine two different solving processes, and learn how to check our work for accuracy.
13. Chebyshev Polynomials: Applications, Formula & Examples
Chebyshev polynomials have applications in math, science, and engineering. Learn how to apply these polynomials to synthesizing waveforms and proving trigonometry identities.
14. Chebyshev Polynomials: Definition, History & Properties
This lesson looks at the remarkable Chebyshev polynomials and defines them using properties of recursion and orthogonality. Chebyshev polynomials have applications in science and engineering.
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Other chapters within the High School Algebra II: Homework Help Resource course
- Algebra II - Basic Arithmetic Review: Homework Help
- Homework Help for Algebraic Expressions and Equations - Algebra II
- Algebra II - Real Numbers: Homework Help
- Algebra II - Complex and Imaginary Numbers Review: Homework Help
- Algebra II Homework Help: Exponents & Exponential Expressions
- Algebra II - Properties of Functions Review: Homework Help
- Algebra II - Linear Equations Review: Homework Help
- Algebra II - Systems of Linear Equations: Homework Help
- Algebra II - Inequalities Review: Homework Help
- Algebra II - Matrices and Determinants: Homework Help
- Algebra II - Absolute Value Review: Homework Help
- Algebra II - Factoring: Homework Help
- Algebra II Homework Help: Quadratic Equations
- Algebra II - Rational Expressions: Homework Help
- Algebra II - Graphing and Functions: Homework Help
- Algebra II - Roots and Radical Expressions Review: Homework Help
- Algebra II - Quadratic Equations: Homework Help
- Algebra II - Exponential and Logarithmic Functions: Homework Help
- Algebra II - Conic Sections: Homework Help
- Algebra II - Sequences and Series: Homework Help
- Algebra II - Sets: Homework Help
- Algebra II - Combinatorics: Homework Help
- Algebra II Percents & Proportions: Homework Help
- Algebra II - Statistics: Homework Help
- Algebra II - Trigonometry: Homework Help