1. Lesson 5.3 Operations with Polynomials

2. Combine Like Terms Warm up 5x – 14 15x2 + 3x 4xy – 9y 3x – 6 + 2x – 8
10xy + 5y – 6xy – 14y
5x – 14
15x2 + 3x
4xy – 9y

3. VOCABULARY

4. Polynomial
Term
Variable
Coefficient
Constant
Degree of term
Degree of polynomial
Leading coefficient
Standard form

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

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

7. Linear Binomial 9 Special Names: Degree Name: # of Terms Name:
Constant:
Binomial 9

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

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

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

11. Adding Polynomials

12. 1.
3x2 + x + 2

13. 2.
x2 + 2x – 2

14. Subtracting Polynomials

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

16. 3.
3a a – 8a2 + a
– 5a2 + 11a

17. 4.
3x2 + 2x – 4 – 2x2 – x + 1
x2 + x – 3

18. Multiplying Polynomials

19. 5.
-2x(x2 – 4x + 2)

20. 6.
(3x – 1)2
9x2 – 6x + 1

21. 7. (x – 3)(x2 + 4x – 2)
x3 + x2 -14x + 6

22. 8. (x + 1)(x + 2)(x – 5)
x3 – 2x2 – 13x - 10

23. 9. Find the area of the rectangle.