About This Chapter
Who's It For?
Anyone who needs help learning or mastering division with polynomials will benefit from the lessons in this chapter. There is no faster or easier way to learn how to divide polynomials. Among those who would benefit are:
- Students who have fallen behind in understanding the uses of synthetic and long division to divide polynomials or methods for solving polynomial rational expressions
- 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 dividing 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 Dividing 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 Dividing Polynomials chapter exam to be prepared.
- Get Extra Support: Ask our subject-matter experts any division question. They're here to help!
- Study With Flexibility: Watch videos on any web-ready device.
Students Will Review:
This chapter helps students review methods for dividing polynomials covered in a standard math course. Topics covered include:
- The uses of long and synthetic division to divide polynomials
- Solving rational expressions with multiplication
- Methods for dividing polynomial rational expressions
1. 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!
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. How to Multiply and Divide Rational Expressions
Multiplying and dividing rational polynomial expressions is exactly like multiplying and dividing fractions. Like fractions, we will reduce. With polynomial expressions we use factoring and canceling. I also give you a little mnemonic to help you remember when you need a common denominator and when you don't.
5. Multiplying and Dividing Rational Expressions: Practice Problems
Let's continue looking at multiplying and dividing rational polynomials. In this lesson, we will look at a couple longer problems, while giving you some practice multiplying and dividing.
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Other chapters within the Division: Help & Review course
- Introduction to Division: Help & Review
- Dividing Fractions: Help & Review
- Dividing Decimals: Help & Review
- Dividing Radicals & Exponential Expressions: Help & Review
- Division with Complex Numbers: Help & Review
- Division of Factorials: Help & Review
- Dividing Functions: Help & Review
- Division in Geometry: Help & Review