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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
What’s a Polynomial?
f (x) = 4x4
− 3x3
+ 5x − 6
Math 3 Unit 1: Polynomials Lesson 1: Polynomial Operations
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
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
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
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
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
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
Simplifying
Ex. 7) Simplify 3(x − 4)2
− 4(x − 4) + 6.
Math 3 Unit 1: Polynomials Lesson 1: Polynomial Operations
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
Task 1.1: Polynomial Operations Scavenger Hunt
Math 3 Unit 1: Polynomials Lesson 1: Polynomial Operations

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Lesson 1 operations slides notes

  • 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