2. Degree The largest exponent

3. Standard Form Descending order according to exponents

4. Leading Coefficient Once in standard form… The leading coefficient is the NUMBER out front (including its sign)

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

6. Degree (largest exponent) Name by degree 0 Constant 1 Linear 2 Quadratic 3 Cubic 4 Quartic

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

8. Special Names: Quadratic Binomial Degree Name: # of Terms Name:

9. 3x - 5 -2x 2 Standard Form: Degree: Name by Degree: Leading Coefficient: Name by # of Terms:

10. Adding Polynomials

11. Step 1: Group Like Terms Step 2: Simplify

12. 1. 3x 2 + x + 2

13. 2. x 2 + 2x – 2

14. 3. -2x 2 + 3x – 5

15. 4. -x + 6

16. Subtracting Polynomials

17. Step 2: Group Like Terms Step 3: Simplify Step 1: Distribute the subtraction sign

18. 3a 2 + 10a – 8a 2 + a – 5a 2 + 11a

19. 7x – 3 – 9x + 2 – 2x – 1

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

21. Multiplying Polynomials

22. Step 1: Multiply the Coefficients Step 2: Add the Exponents *If necessary, distribute!* Ex: (5x 2 )(-2x 3 )Ex: (5x 2 )(-2x 3 ) 1.1. 2.2.

23. (5x 2 )(-2x 3 )

24. (2x 2 )(10x 3 -7x 5 )

25. (3x 2 )(3x 3 -7x + x 2 + x 5 )

26. Binomial * Binomial “FOIL” F O I L & Simplify

27. (x+9)(x+3) F O I L Simplified:

28. (x+4)(x-7) F O I L Simplified:

29. (3w-1)(2w-4) F O I L Simplified:

30. Binomial * Trinomial Step 1: Distribute First term in the binomial to all three terms in trinomial. Step 2: Distribute Second term in the binomial to all three terms in trinomial. Step 3: Simplify

31. (5b-6)(3b 2 – 2b + 5)

32. Dividing Polynomials by a Monomial

33. Step 1: Simplify the coefficients Step 2: Subtract the exponents