1. Warm up

2. FOIL

3. Definition: Polynomial

4. Special Names

5. Goal We can add, subtract, multiply and divide these polynomials. Today we are going to focus on how to MULTIPLY BINOMIALS.

6. What is FOIL The FOIL method is ONLY used when you multiply 2 binomials. It is an acronym that tells you which terms to multiply.

7. FOIL F - first O - outside I - inside L - last

8. Example 1 Use the FOIL method to multiply the following binomials: (y + 3)(y + 7)

9. (y + 3)(y + 7). F tells you to multiply the FIRST terms of each binomial. y2y2

10. (y + 3)(y + 7). O tells you to multiply the OUTER terms of each binomial. y 2 + 7y

11. (y + 3)(y + 7). I tells you to multiply the INNER terms of each binomial. y 2 + 7y + 3y

12. (y + 3)(y + 7). L tells you to multiply the LAST terms of each binomial. y 2 + 7y + 3y + 21 Combine like terms. y 2 + 10y + 21

13. Example 2

14. Example 3 (2a – 3b)(2a + 4b) Answer: 4a 2 + 2ab – 12b 2

15. Example 4: You try

16. Example 5: You try

17. Example 6: You try

18. Homework FOIL Puzzle