1. Quiz Questions a) Expand and Simplify (3x+5)(2x-4) b) Simplify (3x 2 - 5x) – (6x 2 - 2x + 4) c) Simplify (4x 2 y 3 ) 2 (3 2 y 2 ) 2

2. Lesson #9- Factoring and Dividing Polynomials

3. A Factor The factors of 6 are… The factors of 24 are…

4. Why are there 60 seconds in a minute, why not 100? Factors of 60: Factors of 100: The Babylonians realized 60 is more convenient for their number system! (More factors) 60 has 12 factors. 100 has 9 factors.

5. TermsGCF Bronze Silver Gold Platinum Polynomials 6x 2 24x 3 12x 4 The Greatest Common Factor (GCF) is the largest factor that divides evenly into each term. 28x 2 y 2 14x 3 y 2 21x 2 y 3 15a 6 b 7 3a 3 b 5 21a 6 b 4 6x 2 7x 2 y 2 3a 3 b 5 8 16 40 8 can be factored as well. eg. 1 Complete the Table

6. eg. 2 Factor by pulling out the GCF 4x+6 9x-15 6x 2 +10x x(x+3) +2(x+3) 2a 2 b 2 -6ab 3 +4ab 2 49x 3 y 2 - 21x 2 y 2 + 14x 3 y 3 2(2x+3) 3(3x-5) 2x(3x+5) 7x 2 y 2 (7x-3+2xy) 2ab 2 (a-3b + 2) (x+3)(x+2)

7. eg. 3 Division of a Polynomial- Divide each monomial individually 9x 3 + 6x 2 + 12x 3x 18a 2 + 12ab 3a 3x 2 + 2x+ 4 6a+ 4b 20xy 5 - 15xy 2 + 30x 2 y 4 5xy 18x 2 + 8x + 6 3 6x 2 + 8x 3 + 2 4y 4 + 3y+ 6xy 3

8. Homework pg. 65 #36-38 pg. 67 #44-47