1. Adding and Subtracting Polynomials
Chapter 4
Section 4.1

2. Objective
Students will add and subtract polynomials

3. Vocabulary
Monomial Constant Polynomial Binomial Trinomial Coefficient Similar Simplified

4. Concept
Monomial – expression that is either a numeral, a variable, or the product of a numeral & variables. Constant monomial – a numeral Binomial – 2 terms Trinomial – 3 terms Polynomial – sum of monomials

5. Concept
Coefficient – the number in front of the variables Similar – like terms, have the exact same variables but can have different numbers Simplified – when no two of its terms are similar.

6. Concept
When adding and subtracting polynomials together, you may only combine like terms together. When combining like terms together, you add or subtract the numbers, variables and exponents DO NOT CHANGE.

7. Example
Simplify -6x3 + 3x2 + x2 + 6x3 – 5

8. Example
Add 3x2y + 4xy2 – 2y3 + 3 and x2y + 3y3 – 4

9. Subtract –a2 – 5ab + 4b2 – 2 from 3a2 – 2ab – 2b2 – 7
Example
Subtract –a2 – 5ab + 4b2 – 2 from 3a2 – 2ab – 2b2 – 7

10. Concept
3a2 – 2ab – 2b2 – 7 - -a2 – 5ab + 4b2 – 2 **Set up either way, you solve the same

11. Questions

12. Assignment
Worksheet