1. Dr. Fowler  CCM
Adding Polynomials

2. Vocabulary
Monomials - a number, a variable, or a product of a number and one or more variables.
4x, 20x2yw3, -3, a2b3, and 3yz
Polynomials – one or more monomials.
4x + 6x2, 20xy - 4, 3a2 - 5a + 4, 8
Binomial – 2 monomials. Bi = 2
4x + 3, 53a2 - a
Trinomial – 3 monomials. Tri = 3
4x + 3y + 7, 128a2 – 4a + 9

3. Like Terms
Like Terms have the same letters, and the same exponents. Constants, or “numbers only” are also Like Terms.
Which terms are like? a2b, 4ab2, 3ab, -5ab2
4ab2 and -5ab2 are like terms.

4. Like Terms Which terms are like? 2x, -3, 5b, 0 -3 and 0 are like.
Which terms are like? x, 2x2, 4, x
3x and x are like.
Which terms are like? wx, w, 3x, 4xw
2wx and 4xw are like.

5. Adding Polynomials 5x2 + 3x + 6 Add: (x2 + 3x + 1) + (4x2 +5)
Step 1: Underline like terms:
(x2 + 3x + 1) + (4x2 +5)
Notice: ‘3x’ doesn’t have a like term.
Step 2: Add the coefficients of like terms, do not change the powers of the variables:
5x2 + 3x + 6

6. 2. Add the following polynomials: (3a2 + 3ab - b2) + (4ab + 6b2)
Combine your like terms.
3a2 + 7ab + 5b2

7. Adding Polynomials
Add the following polynomials:

8. Simplify:
3x2 – 4x + 8
x2 + x + 1
+ 2x2 – 7x – 5
+ 2x2 + 3x + 2
5x2 – 11x + 3
3x2 + 4x + 3
(4b b + 1)
+ (7b2 + b – 3)
a a – 5
+ 3a2 + 2a – 7
11b b – 2
4a a – 12

9. Simplify: (12y3 + y2 – 8y + 3) + (6y3 – 13y + 5)
Adding Polynomials
Simplify:
(12y3 + y2 – 8y + 3) + (6y3 – 13y + 5)
(6x5 + 3x3 – 7x – 8) + (4x4 – 2x2 + 9)
= 18y3 + y2 – 21y + 8
= 6x5 + 4x4 + 3x3 – 2x2 – 7x + 1

10. Excellent Job !!! Well Done

11. Stop Notes
Do Worksheet