Polynomials & Factoring
In this unit, you will explore polynomials, their operations, and factoring techniques. You will learn how to add, subtract, multiply, and divide polynomials, as well as factor using greatest common factors, special products, and trinomial techniques. By the end of this unit, you will be able to:
- Understand the structure and degree of polynomials.
- Add, subtract, multiply, and divide polynomials.
- Factor polynomials using GCF, special products, and trinomial factoring.
- Solve quadratic equations by factoring.
Unit Goals
- Identify polynomials and perform addition, subtraction, and multiplication (including FOIL).
- Recognize and apply special products (perfect square trinomials, difference of squares).
- Factor polynomials using GCF, factoring trinomials, and special-case techniques.
- Use long division and synthetic division to divide polynomials.
- Solve quadratic equations by factoring and verify solutions.
Lessons in Unit 5
- Lesson 24 — Introduction to Polynomials
- Lesson 25 — Adding and Subtracting Polynomials
- Lesson 26 — Multiplying Polynomials (Distributive Property, FOIL)
- Lesson 27 — Special Products (Squares, Difference of Squares)
- Lesson 28 — Dividing Polynomials (Long Division, Synthetic Division)
- Lesson 29 — Greatest Common Factor (GCF)
- Lesson 30 — Factoring Trinomials
- Lesson 31 — Factoring Special Cases (Difference of Squares, Perfect Square Trinomial)
- Lesson 32 — Solving Quadratic Equations by Factoring