1. Notes Rev.3 Multiply Polynomials Distributive Property FOIL Boxes Square Binomials Mentally

2. Vocabulary Distributive Property: Foil: Square a Binomial: Multiply binomials using boxes : a(b+c) = ab + ac a(b-c) = ab - ac Use when multiplying 2 binomials First Outside Inside Last An organizer used when multiplying polynomials of 2 by 3 or larger – like a binomial times a trinomial (a+b) 2 = a 2 +2ab+b 2 (a-b) 2 = a 2 -2ab+b 2

3. Multiply Monomial and Polynomial So Distributive Property (x 2 )(2x) + (x 2 )(-x 3 ) 2x 3 – x 5

4. FOIL: Multiply 2 Binomials (x)(x) + (x)(3) + (2)(x) + (2)(3) x 2 + 3x + 2x + 6 x 2 + 5x + 6 F O I L

5. Square a Binomial 16x 2 + 24x + 9

6. Multiply Polynomials (2x 2 – 2x +x – 1 )(3x + 2 ) 3x 2 (2x 2 – x – 1 )(3x + 2 ) 2x 2 -x 6x 3 + x 2 – 5x – 2 6x 3 4x 2 -3x 2 -2x -3x -2

7. Marker board practice 5 problems each group putting these in the notebook is optional! Evens up first!!!

8. Distribute? Foil? Boxes? FOIL

9. Distribute? Foil? Boxes? Distribute

10. Distribute? Foil? Boxes? Boxes after FOIL

11. 1. Simplify (2x+3)(x – 1) A. 2x – 3 B. 3x+2 C. 2x 2 +x – 3 D. 2x 2 – x – 3

12. 4. (2x+3) 2 A. 4x + 9 B. 4x 2 + 9 C. 4x 2 +12x + 9 D. 4x 2 + 6x + 9

13. Odds up!!

14. Distribute? Foil? Boxes? FOIL

15. Distribute? Foil? Boxes? Distribute

16. Distribute? Foil? Boxes? Boxes

17. 2. ( 4x)(2x – 5) A. 6x – 3 B. 8x – 5 C. 8x 2 – 18x – 5 D. 8x 2 – 20x

18. 3. 3(x+5)(x – 4) A. 3x – 20 B. 3x 2 + 3x – 60 C. 3x 2 – 60x – 20 D. 3x 2 + x – 60