1. 8-1 ADDING AND SUBTRACTING POLYNOMIALS Objective: to classify, add, and subtract polynomials

2. What does each prefix mean? mono one bi two tri three

3. Vocabulary We are going to fill in a vocabulary sheet together!

4. Degree of a Polynomial Degree of a monomial: the sum of the exponents of its variables Find the degree of each polynomial:

5. Try with a mathlete

6. Classifying Polynomials

7. Standard Form Write each polynomial in standard form. What is the name of the polynomial based on its degree and number of terms?

8. Try with a mathlete

9. ADDITION: (4X 2 + 5X – 1) + (6X 2 – 3X – 4) 4x 2 + 5x – 1 + 6x 2 – 3x – 4 10x 2 + 2x – 5 4x 2 + 5x – 1 + 6x 2 – 3x – 4 10x 2 + 2x – 5 Method 1: Combine Like Terms Method 2: Like Elimination

10. TOO 1) (6x 2 y – xy 2 + 7) + (-7x 2 y – 6xy 2 – 5) -x 2 y – 7xy 2 + 2 2) (x + 6y – 3) + (10y – 3x + 1) -2x + 16y – 2 3) (7x 2 + 5x) + (6 – x) 7x 2 + 4x + 6 Method 2: Make sure to line up like terms Write answer in alphabetical/descending order

11. SUBTRACTION: (X 2 – 6X + 5) – (3X 2 – 5X + 6) **DISTRIBUTE NEGATIVE TO 2 ND POLYNOMIAL x 2 – 6x + 5 – 3x 2 + 5x – 6 -2x 2 – x – 1 x 2 – 6x + 5 + -3x 2 + 5x – 6 -2x 2 – x – 1 Method 1 Method 2

12. TOO – volunteers to board 1) (6x – xy + 2y) – (-x + 3xy + 5y) 2) (10x 2 + 2x + 6) – (6x – 2x 2 + 4) 3) (6x – 2) – (10 + 2y)

13. Find the sum or difference. (5a – 3b) + (2a + 6b) 1. 3a – 9b 2. 3a + 3b 3. 7a + 3b 4. 7a – 3b

14. Find the sum or difference. (5a – 3b) – (2a + 6b) 1. 3a – 9b 2. 3a + 3b 3. 7a + 3b 4. 7a – 9b

15. Homework Pg. 489 # 9 – 47 odd