1. 1MPES2 – Monomials Ecole Supérieure de Commerce de Neuchâtel Pierre Marchal 30.11.2015 http://creativecommons.org/licences/by/3.0/ Attribute to: Tyler Wallace (University of Memphis)

2. Objectives of the course By the end of the course, you should be able to: – Know the definition of a monomial – Know the definition of like monomials – Add or subtract like monomials – Multiply monomials together

3. Monomials - Definition A is an expression like: Where: 1. 2. 3. 4. monomial a is called the coefficient xn xn is called the term x is called the variable or the unknown n is called the degree of the monomial coefficient term variable or unknown degree

4. EXAMPLES OF APPLICATION

5. Determine the correct components MonomialCoefficientTermVariableDegree

6. Like monomials Like monomials are monomials having the same : – same – and same Like monomials terms variable degree

7. Add and Subtract like monomials Only like monomials can be added or subtracted together. To add or subtract (also called reducing): – the variable first – Then add or subtract the coefficients like monomials Factor add subtract reducing

8. Practical exercises

9. Reduce and order* Exercise n° 1 page 15 Solution: * “Order” means: degrees come in decreasing order

10. Multiplying monomials To multiply monomials (also called develop): – Multiply coefficients together – Multiply terms together Examples: coefficients terms (rearrange) develop

11. Practical exercises

12. Develop

13. By the end of this course You are able to : – Give the definition of a monomial – Give the definition of like monomials – Add or subtract like monomials – Multiply monomials together

14. Any question ?

15. THANK YOU FOR YOUR ATTENTION See you on Thursday, and please, learn your lessons!