1. Adding and Subtracting Polynomials
A-SSE.1a, A-SSE.3a, A-APR.3, F-IF.8a

2. Table of Contents
46: Warm-Up
47: What is the Difference Between Linear and Non Linear Functions?

3. Warm-Up Are the following quadratic functions? Why or why not?
a(x) = 9x2 – 12x + 3
b(x) = 9 + 9x – 12x2
c(x) = 23x + 35
d(x) = 9x + 5x2
e(x) = -x2 – 24
f(x) = 8 – ¼ x

4. Learning Intention/Success Criteria
LI: We are learning how to add and subtract polynomials SC: I know how to -apply the laws of exponents to variables -add, subtract, multiply, and divide integers -state the number of terms in a function

5. EQ: How Do I Add and Subtract Polynomials?
2/28/2019

6. Term
Parts of an expression separated by addition and subtraction signs
Polynomial
The sum or difference of terms which have variables raised to positive integer powers and which have coefficients

7. Monomial
A polynomial with one term
Binomial
A polynomial with two terms which are not like terms
Trinomial
A polynomial with three terms which are not like terms

8. Example 1: Add 2x + 3x
2x + 3x
x x
x x x 5x

9. Guided Practice 1 Add the following: 3g + 7g -3k + 6k 10g 8w – 12w 3k

10. Example 2: Add (-2x + 3) + (3x – 6)
- 3

11. Guided Practice 2 Add the following: (-3x + 6) + (5x – 3)

12. Example 3: Subtract (18x - 23) - (10x - 5)
-18

13. Guided Practice 3 Subtract the following: (30x - 18) - (12x + 5)

14. Example 4: Add: (2x2 + 3x – 4) + (3x2 – 6x + 4)
+ 0
5x2 – 3x

15. Guided Practice 4 Add or Subtract the following:
(5x2 – 4) + (-8x2 + 6x + 10)
(-2x2 + 3x - 4) - (4x2 – 6x + 3)
-3x2 + 6x - 6
-6x2 + 9x - 7