Techniques for Multiplying Binomials: Horizontal and Vertical Methods

1. Objective - To use several different techniques to multiply binomials. Horizontal Method Vertical Method

2. Multiply the binomials below using the horizontal and vertical methods. Horizontal Method Vertical Method

3. Multiply the binomials using the horizontal method. 1) 2)

4. Multiply the binomials using the vertical method. 3) (t + 4)(5t - 7) 4) (2t - 1)(3t + 8)

5. Multiplying Binomials Using FOIL Often the product of two binomials = Trinomial = Quadratic Term Constant Term Linear Term Takes too long!

6. F O I L First Outer Inner Last

7. F O I L First Outer Inner Last

8. F O I L Last First Outer Inner

9. F O I L Outer First Inner Last

10. F O I L Inner First Outer Last

11. F O I L First Outer Inner Last

12. F O I L Outer First Inner Last

13. F O I L Inner First Outer Last

14. F O I L Last First Outer Inner

15. F O I L First Outer Inner Last

16. F O I L Try... First Outer Inner Last

17. Use FOIL to multiply the binomials below. 1) 6) 2) 7) 3) 8) 4) 9) 5) 10)

18. Use FOIL to multiply the binomials below. 11) 16) 12) 17) 13) 18) 14) 19) 15) 20)

19. b a a b Simplifying Binomial Squares Simplify. F O I L Binomial Squares Pattern =

20. Simplify the binomial squares.