1. F-O-I-L A method for Multiplying 2 Binomials

2. F-O-I-L FOIL stands for: First Outer Inner Last Find the product of each set of terms and add them up to find the product of the two binomials.

3. Example Let’s try it out: (x+4)(x+3)

4. Example Let’s try it out: (x+4)(x+3) First two termsx*x x 2

5. Example Let’s try it out: (x+4)(x+3) First two termsx*x Outer two termsx*3 x 2 +3x

6. Example Let’s try it out: (x+4)(x+3) First two termsx*x Outer two termsx*3 Inner two terms4*x x 2 +3x+4x

7. Example Let’s try it out: (x+4)(x+3) First two termsx*x Outer two termsx*3 Inner two terms4*x Last two terms4*3 x 2 +3x+4x+12

8. Example Let’s try it out: (x+4)(x+3) First two termsx*x Outer two termsx*3 Inner two terms4*x Last two terms4*3 x 2 +3x+4x+12

9. Example Let’s try it out: (x+4)(x+3) First two termsx*x Outer two termsx*3 Inner two terms4*x Last two terms4*3 x 2 +3x+4x+12 x 2 +7x+12

10. Another Example What if we throw in a negative sign? (x-7)(x+6)

11. Another Example What if we throw in a negative sign? (Use FOIL) (x-7)(x+6)

12. Another Example Let’s try it out: (x-7)(x+6) First two terms = Outer two terms = Inner two terms = Last two terms =

13. Another Example Let’s try it out: (x-7)(x+6) First two termsx*x Outer two termsx*(6) Inner two terms(-7)*x Last two terms(-7)*6 x 2 +6x-7x-42

14. Another Example Let’s try it out: (x-7)(x+6) First two termsx*x Outer two termsx*(6) Inner two terms(-7)*x Last two terms(-7)*6 x 2 +6x-7x-42 x 2 -x-42

15. Last Example What if we throw in two negative signs? (x-8)(2x-3)

16. Last Example What if we throw in two negative signs? (Use FOIL) (x-8)(2x-3) First two terms = Outer two terms = Inner two terms = Last two terms =

17. Last Example What if we throw in two negative signs? (Use FOIL) (x-8)(2x-3) First two terms x*2x Outer two terms x*(-3) Inner two terms (-8)(2x) Last two terms (-8)(-3)

18. Last Example What if we throw in two negative signs? (Use FOIL) (x-8)(2x-3) First two terms x*2x Outer two terms x*(-3) Inner two terms (-8)(2x) Last two terms (-8)(-3) 2x 2 -3x-16x+24

19. Last Example What if we throw in two negative signs? (Use FOIL) (x-8)(2x-3) First two terms x*2x Outer two terms x*(-3) Inner two terms (-8)(2x) Last two terms (-8)(-3) 2x 2 -3x-16x+24 =2x 2 -19x+24