1. Math 9 Lesson #34 – Factors and GCF/Factoring with Distributive Property Mrs. Goodman

2. Types of Polynomials Monomial : an expression with one term 3x

3. Types of Polynomials Binomial : an expression with two terms 4x - 5

4. Types of Polynomials Trinomial : an expression with three terms x 2 + 4x - 5

5. What does factoring mean? To write a trinomial as a product of two binomials

6. Always look for GCF (greatest common factor) FIRST!!!

7. Find the greatest common factor (GCF) 1.4x and 16 GCF: 4 2. 14x 4 and 21x 2 GCF: 7x 2 3. 2x 2 and 3x GCF: x

8. Factor using GCF and Distributive Property 1.Find the GCF 2.Use distributive property to pull the GCF out of each term 3.Write the leftovers in parentheses

9. Factor using GCF and Distributive Property Example: 12x 3 + 14x 2 GCF = 2x 2 Factored form: 2x 2 (6x + 7)

10. Factor using GCF and Distributive Property Example: 8x 2 – 18x GCF = 2x Factored form: 2x(4x - 9)

11. Factor using GCF and Distributive Property Example: 45x 4 – 20x 2 GCF = 5x 2 Factored form: 5x 2 (9x 2 - 4)

12. Try these! 1.6v 3 – 18v 2.4x 4 – 12x 3.3x – 9x 2 4.24t 5 + 6t 3 5.100y - 10

13. That’s all for this lesson! Thanks for working hard! See you next time!