1. Combine Like Terms 1) 3x – 6 + 2x – 8 2) 3x – 7 + 12x + 10 3) 10xy + 5y – 6xy – 14y 5x – 14 15x + 3 4xy – 9y Warm up

2. Unit 4 Operations & Rules

3. VOCABULARY

4. Degree The exponent for a variable

5. Degree of the Polynomial Highest (largest) exponent of the polynomial

6. Standard Form Terms are placed in descending order by the DEGREE

7. Leading Coefficient Once in standard form, it’s the 1 st NUMBER in front of the variable (line leader)

8. # of Terms Name by # of Terms 1 Monomial 2 Binomial 3 Trinomial 4+Polynomial

9. Degree (largest exponent) Name by degree 0 Constant 1 Linear 2 Quadratic 3Cubic

10. Special Names: Linear Binomial Degree Name: # of Terms Name: Leading Coefficient: -2

11. Special Names: Cubic Monomial Degree Name: # of Terms Name:

12. Special Names: Quadratic Binomial Degree Name: # of Terms Name: Leading Coefficient: 4

13. Special Names: Cubic Trinomial Degree Name: # of Terms Name: Leading Coefficient: 1

14. Adding Polynomials

15. 1. 3x 2 + x + 2

16. 2. x 2 + 2x – 2

17. Subtracting Polynomials

18.  When SUBTRACTING polynomials Drop the 1 st parenthesis then distribute the NEGATIVE to the 2 nd parenthesis.

19. 3a 2 + 10a – 8a 2 + a – 5a 2 + 11a 3.

20. 3x 2 + 2x – 4 – 2x 2 – x + 1 x 2 + x – 3 4.

21. Multiplying Polynomials

22. -2x(x 2 – 4x + 2) 5.

23. (x + 3) (x – 3) 6.

24. (3x – 1)(2x – 4) 7.

25. 8. Find the area of the rectangle.

26. 9. Find the volume.

27. Classwork Worksheet 13 problems

28. Homework Practice Worksheet