Adding and Subtracting Polynomials

1. Lesson 1: Polynomial Operations
Math 3 Unit 1: Polynomials
Learning Target:
Students will be able to add, subtract, and multiply polynomials of various degrees.
Math 3 Unit 1: Polynomials Lesson 1: Polynomial Operations

2. What’s a Polynomial?
f (x) = 4x4
− 3x3
+ 5x − 6
Math 3 Unit 1: Polynomials Lesson 1: Polynomial Operations

3. Adding
Ex. 1) If f (x) = x2
− 12x + 35 and g(x) = x − 7, find f (x) − g(x).
Math 3 Unit 1: Polynomials Lesson 1: Polynomial Operations

4. Subracting
DISTRIBUTE THE NEGATIVE!!!
Ex. 2) If f (x) = 5x2
+ 11x + 18 and g(x) = x2
− 4x, find (f − g)(x).
Math 3 Unit 1: Polynomials Lesson 1: Polynomial Operations

5. Subtracting again...
Ex. 3) If f (x) = 3x2
+ 7x − 4 and g(x) = 6x2
− 9x + 3, find f (x) − g(x).
Math 3 Unit 1: Polynomials Lesson 1: Polynomial Operations

6. Multiplying=Multiple Distributing
Ex. 4) If f (x) = 3x + 2 and g(x) = 4x − 7, find (fg)(x).
Math 3 Unit 1: Polynomials Lesson 1: Polynomial Operations

7. More Multiplying...
Ex. 5) If f (x) = 2x2
− 6x − 3 and g(x) = 2x − 5, find f (x) · g(x).
Math 3 Unit 1: Polynomials Lesson 1: Polynomial Operations

8. Still More Multiplying...
Ex. 6) If f (x) = 2x − 3 and g(x) = −3x2
− 7x + 5, find f (x) · g(x).
Math 3 Unit 1: Polynomials Lesson 1: Polynomial Operations

9. Simplifying
Ex. 7) Simplify 3(x − 4)2
− 4(x − 4) + 6.
Math 3 Unit 1: Polynomials Lesson 1: Polynomial Operations

10. More Simplifying...
Ex. 8) What is the result (in standard form) when (2x − 8)2
is subtracted from
3x?
Math 3 Unit 1: Polynomials Lesson 1: Polynomial Operations

11. Task 1.1: Polynomial Operations Scavenger Hunt
Math 3 Unit 1: Polynomials Lesson 1: Polynomial Operations