About This Chapter
Polynomial Operations - Chapter Summary
Review the lessons in this chapter to feel confident that you understand polynomial operations. Examine the definitions of related math concepts, and explore ways to perform mathematical operations on polynomials. Feel free to navigate the lessons at your own pace. In no time, you will be able to do the following:
- Define binomials and polynomials
- Differentiate between polynomials, binomials and quadratics
- Add, subtract and multiply polynomials
- Use long and synthetic division to divide polynomials
- Provide the meaning of the binomial theorem and Pascal's triangle
All of the lessons in this chapter are available as videos and full transcripts. Utilize either lesson format to strengthen your understanding of polynomial operations. When ready, assess your understanding of lesson concepts by taking short quizzes and a chapter exam. Send any questions you have about topics covered in this chapter to our experts.
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. What are Polynomials, Binomials, and Quadratics?
What do polynomials, binomials, and quadratics have in common? What are their differences? How can you identify each of them? Watch this video lesson to find the answers.
3. 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!
4. 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!
5. What is the Binomial Theorem?
While the F.O.I.L. method can be used to multiply any number of binomials together, doing more than three can quickly become a huge headache. Luckily, we've got the Binomial Theorem and Pascal's Triangle for that! Learn all about it in this lesson.
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