2. Binomial X Binomial The problems will look like this: (x – 4)(x + 9)

3. Binomial X Binomial Use the FOIL Method to find the product of two binomials.

4. FOIL i r S t (x – 4)(x + 9) x2x2

5. FOIL u t s i d e (x – 4)(x + 9) x 2 + 9x

6. FOIL n s i d e (x – 4)(x + 9) x 2 + 9x – 4x

7. FOIL a s t (x – 4)(x + 9) x 2 + 9x – 4x - 36

8. FOIL x 2 + 9x – 4x - 36 This is your answer, however, do you notice anything you can do to simplify this answer?

9. FOIL x 2 + 9x – 4x - 36 COMBINE LIKE TERMS! x 2 + 5x - 36

10. PRACTICE 1. (3m + 11)(5m – 2) 15m 2 – 6m + 55m - 22 15m 2 + 49m – 22 2. (4x 2 – 3)(2x 2 – 5) 8x 4 – 20x 2 - 6x 2 + 15 8x 4 – 26x 2 + 15

11. PRACTICE 3. (3a – 4b)(5a + 2b) 15a 2 + 6ab - 20ab – 8b 2 15a 2 - 14ab – 8b 2

12. PRACTICE 4. (1/2x – 4)(2/4x + 2) 1/4x 2 + 1x - 2x - 8 1/4x 2 – 1x – 8

13. PRACTICE 5. (4x 2 – 3)(6x – 8) 24x 3 – 32x 2 – 18x + 24 *No like terms to combine!

14. BINOMIAL X TRINOMIAL Use the distributive property to multiply: (2y + 5)(3y 2 – 8y + 7)

15. BINOMIAL X TRINOMIAL (2y + 5)(3y 2 – 8y + 7) 6y 3 - 16y 2 + 14y 15y 2 - 40y + 35 ____________________________ 6y 3 – 1y 2 - 26y + 35

16. PRACTICE 6. (2x + 3)(x 2 + 3x + 8) 2x 3 + 6x 2 + 16x 3x 2 + 9x + 24 2x 3 + 9x 2 + 25x + 24

17. PRACTICE 7. (2b 2 – 3)(3b 3 – 2b + 3) 6b 5 – 4b 3 + 6b 2 - 9b 3 + 6b - 9 6b 5 – 13b 3 + 6b 2 + 6b – 9

18. PRACTICE 8. (2x + 4)(7x 2 - 10x + 8) 7x 2 - 10x + 8 (x) 2x + 4 28x 2 – 40x + 32 14x 3 – 20x 2 + 16x_____ 14x 3 + 8x 2 – 24x + 32

19. PRACTICE 9. (x 3 + 4x – 5)(3x 2 – 7x + 2) 3x 5 – 7x 4 + 2x 3 12x 3 – 28x 2 + 8x - 15x 2 + 35x - 10 3x 5 – 7x 4 + 14x 3 – 43x 2 + 43x – 10

20. Binomial Squared (3x – 2) 2

21. PRACTICE 10. (4x 2 – 10x – 3)(2x 2 + 6x – 9) 4x 2 – 10x – 3 (x) 2x 2 + 6x – 9 -36x 2 + 90x + 27 24x 3 – 60x 2 –18x 8x 4 –20x 3 - 6x 2 ____________ 8x 4 + 4x 3 – 102x 2 + 72x + 27