About This Chapter
Polynomial Operations Basics - Chapter Summary
If you have not reviewed polynomial operations basics in a while, this chapter will give you the recap you need to re-familiarize yourself with this topic. Each lesson covers fundamental formulas and concepts related to polynomials, including the procedures needed for solving different types of polynomial problems. When you finish the chapter, you will be able to:
- Differentiate between polynomials and monomials
- Establish the steps to multiply, subtract, and add polynomials
- Outline how to use long division to divide polynomials
- Evaluate synthetic division procedures with polynomials
When you use our study materials to get ready for an upcoming exam, you can rest easier knowing that every single lesson has been carefully designed by field experts. The instructors we use for this chapter possess extensive knowledge of mathematics, and they also have had years of experience teaching this topic to learners of all levels. Our instructors know how to build your knowledge about this topic from the ground up, and they also know the best strategies for helping you remember key concepts.
Our instructors also recognize your needs, and they have designed our study chapters to meet those needs. For example, instead of giving you an endless chapter to review, our instructors split up the chapter information into short, manageable lessons. Shorter lessons help you avoid information overload. Furthermore, since each lesson focuses on a single topic, it's easier for you to navigate your way through the chapter, especially if you only want to go over a few key lessons.
1. What Are Monomials & Polynomials?
Watch this video lesson to learn how coefficients and variables combine to form monomials and polynomials. You'll also find out how the exponent determines the degree of polynomials.
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!
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Other chapters within the NY Regents Exam - Algebra I: Test Prep & Practice course
- Algebraic Units & Modeling
- Structure of Mathematical Expressions
- Creating Equations, Inequalities & Expressions
- Solving & Graphing Equations & Inequalities
- Understanding Data Using Statistics
- Interpreting Linear Models
- Understanding Functions
- Interpreting, Analyzing & Graphing Functions
- Building Linear & Exponential Functions
- Basics of Rational & Irrational Numbers
- Quadratic & Polynomial Equations
- About the NY Regents Examinations
- NY Regents Exam - Algebra I Flashcards