# Dividing Polynomials By Integers & Monomials | Algebra | Maths | FuseSchool

Dividing a polynomial by an integer or an expression is really just another way of simplifying. There isn’t actually anything new to learn: you just need to be able to simplify numbers (like 20/15 simplifies down to 4/3) and know how to divide with indices (when you divide with indices, you subtract the powers. So x^7 / x^3 = x^4). To divide a polynomial by a number (or integer), there are 3 simple steps to follow: (1) Rewrite the question as a fraction. (2) Split the problem into pieces by writing each term over the denominator. (3) Finish by simplifying each term. EXAMPLE: (8a + 10b - 14) / 2. (1) Rewrite as a fraction (8a + 10b - 14) / 2 (2) Split it up 8a/2 + 10b/2 - 14/2. (3) 8a divided by 2 is 4a. 10b divided by 2 is 5b. And 14 divided by 2 is 7. ANSWER: 4a + 5b - 7. Simple!! We follow the same 3 simple steps for dividing by monomials too (remember that a monomial is an expression with just one variable in). VISIT us at www.fuseschool.org, where all of our videos are carefully organised into topics and specific orders, and to see what else we have on offer. Comment, like and share with other learners. You can both ask and answer questions, and teachers will get back to you. These videos can be used in a flipped classroom model or as a revision aid. Twitter: https://twitter.com/fuseSchool Access a deeper Learning Experience in the FuseSchool platform and app: www.fuseschool.org Friend us: http://www.facebook.com/fuseschool This Open Educational Resource is free of charge, under a Creative Commons License: Attribution-NonCommercial CC BY-NC ( View License Deed: http://creativecommons.org/licenses/by-nc/4.0/ ). You are allowed to download the video for nonprofit, educational use. If you would like to modify the video, please contact us: info@fuseschool.org Click here to see more videos: https://alugha.com/FuseSchool

LicenseCreative Commons Attribution

## More videos by this producer

### Drawing Electron Configuration Diagrams | Properties of Matter | Chemistry | FuseSchool

Click here to find more videos: https://alugha.com/mysimpleshow Learn the basics about Drawing electron configuration diagrams. Find out more in this video! This Open Educational Resource is free of charge, under a Creative Commons License: Attribution-NonCommercial CC BY-NC ( View License Deed: h

### Coefficient, Constant, Variable & Exponents | Algebra | Maths | FuseSchool

Equations are used everywhere: in computers, business, internet searches, medicine to name a few examples. Which is why we study them a lot in Maths. We have names to describe the different parts: coefficients, variables, constants and exponents. A variable is a symbol for a number we don’t know y

### What Are Catalysts? | Reactions | Chemistry | FuseSchool

Learn the basics about Catalysts. What are catalysts? How do catalysts work? Using catalysts in industry? Find out more in this video! This Open Educational Resource is free of charge, under a Creative Commons License: Attribution-NonCommercial CC BY-NC ( View License Deed: http://creativecommons.