1. Adding and Subtracting Polynomials

2. Warm-up!!
Good Morning!! Please pick up your calculator as you walk in!
Classify the following polynomials (be sure to state the degree and type):
x3 + x +1 14
x2 – 14x +27
4x + 15

3. Adding and Subtracting Polynomials
What are like terms? Like terms have the same variables with exactly the same exponents
Which of the following polynomials are like terms? A. 2xy
B. 3ab2
C. -4a3b2
D. 17ab2
E. 9mn

4. You Try!! Which of the following polynomials are like terms?
-5a3b5
46f3
-85f3
0.03f3g
7f3

5. Adding Polynomials
The easiest way to add polynomials is the vertical method.
How to use the vertical method:
Line Up Like Terms
Add the coefficients. Keep the variables the same.

6. Examples
1. (4x2 + 6x +7) + (2x2 – 9x+1) 2. (x2 + x + 1) + (5x2 - 8x +20)

7. Examples Continued
3. (7y3 – 3y2 + 4y) + (8y4 + 3y2)

8. You Try!!
(7a3 – a + 3a2) + (8a2 - 3a – 4)

9. Subtracting Polynomials
The easiest way to add polynomials is the vertical method. It is just like when we added polynomials with one extra step.
How to Use Vertical Method:
Distribute the negative to everything in parenthesis
Line up like terms
Add the coefficients. Keep the variables the same.

10. Examples
1. (2x3 +5x2 - 3x) - (x3 - 8x2+11) 2. (6x2 -3x +1) - (x2+x -9)

11. Examples Continued
3. (-7z3+3z -1) - (-6z2+z+4)

12. You Try!!
(2x3 - 5x2 -1) - (8x x2)