1. POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 1 : F.O.I.L. FOIL is an acronym for First, Outside, Inside, Last when multiplying.

2. POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 1 : F.O.I.L. FOIL is an acronym for First, Outside, Inside, Last when multiplying. EXAMPLE : Multiply

3. POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 1 : F.O.I.L. FOIL is an acronym for First, Outside, Inside, Last when multiplying. EXAMPLE : Multiply First – the first terms in each binomial

4. POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 1 : F.O.I.L. FOIL is an acronym for First, Outside, Inside, Last when multiplying. EXAMPLE : Multiply First – the first terms in each binomial Outside – the outside terms of each binomial

5. POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 1 : F.O.I.L. FOIL is an acronym for First, Outside, Inside, Last when multiplying. EXAMPLE : Multiply First – the first terms in each binomial Outside – the outside terms of each binomial Inside – the inside terms of each binomial

6. POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 1 : F.O.I.L. FOIL is an acronym for First, Outside, Inside, Last when multiplying. EXAMPLE : Multiply First – the first terms in each binomial Outside – the outside terms of each binomial Inside – the inside terms of each binomial Last – the last terms in each binomial

7. POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 1 : F.O.I.L. FOIL is an acronym for First, Outside, Inside, Last when multiplying. EXAMPLE : Multiply Combine your like terms for the final answer

8. POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 2 : The array An array is just a table used to organize the terms and then multiply. EXAMPLE : Multiply

9. POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 2 : The array An array is just a table used to organize the terms and then multiply. EXAMPLE : Multiply

10. POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 2 : The array An array is just a table used to organize the terms and then multiply. EXAMPLE : Multiply Multiplication symbol goes in upper left hand cell.

11. POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 2 : The array An array is just a table used to organize the terms and then multiply. EXAMPLE : Multiply x+ 7 Multiplication symbol goes in upper left hand cell. One binomial fills in the remaining upper cells.

12. POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 2 : The array An array is just a table used to organize the terms and then multiply. EXAMPLE : Multiply x+ 7 x - 5 Multiplication symbol goes in upper left hand cell. One binomial fills in the remaining upper cells. The other binomial fills in the remaining left side cells.

13. POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 2 : The array An array is just a table used to organize the terms and then multiply. EXAMPLE : Multiply x+ 7 x - 5 We will fill in the remaining cells using multiplication.

14. POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 2 : The array An array is just a table used to organize the terms and then multiply. EXAMPLE : Multiply x+ 7 x - 5 We will fill in the remaining cells using multiplication.

15. POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 2 : The array An array is just a table used to organize the terms and then multiply. EXAMPLE : Multiply x+ 7 x - 5 We will fill in the remaining cells using multiplication.

16. POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 2 : The array An array is just a table used to organize the terms and then multiply. EXAMPLE : Multiply x+ 7 x - 5 We will fill in the remaining cells using multiplication.

17. POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 2 : The array An array is just a table used to organize the terms and then multiply. EXAMPLE : Multiply x+ 7 x - 5 We will fill in the remaining cells using multiplication.

18. POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 2 : The array An array is just a table used to organize the terms and then multiply. EXAMPLE : Multiply x+ 7 x - 5 Now use the cells we just filled in to create the answer. Combine any like terms.

19. POLYNOMIALS – Product of Polynomials Binomial times a binomial EXAMPLE # 2 : Multiply

20. POLYNOMIALS – Product of Polynomials Binomial times a binomial EXAMPLE # 2 : Multiply FOIL t … FIRST – OUTSIDE – INSIDE – LAST –

21. POLYNOMIALS – Product of Polynomials Binomial times a binomial EXAMPLE # 2 : Multiply FOIL t … FIRST – OUTSIDE – INSIDE – LAST –

22. POLYNOMIALS – Product of Polynomials Binomial times a binomial EXAMPLE # 2 : Multiply FOIL t … FIRST – OUTSIDE – INSIDE – LAST –

23. POLYNOMIALS – Product of Polynomials Binomial times a binomial EXAMPLE # 2 : Multiply FOIL t … FIRST – OUTSIDE – INSIDE – LAST –

24. POLYNOMIALS – Product of Polynomials Binomial times a binomial EXAMPLE # 2 : Multiply FOIL t … FIRST – OUTSIDE – INSIDE – LAST – Combine any like terms and find your answer…

25. POLYNOMIALS – Product of Polynomials Binomial times a binomial EXAMPLE # 3 : Multiply ARRAY

26. POLYNOMIALS – Product of Polynomials Binomial times a binomial EXAMPLE # 3 : Multiply ARRAY 3a- 2b 4a + 5b

27. POLYNOMIALS – Product of Polynomials Binomial times a binomial EXAMPLE # 3 : Multiply ARRAY 3a- 2b 4a12a 2 + 5b

28. POLYNOMIALS – Product of Polynomials Binomial times a binomial EXAMPLE # 3 : Multiply ARRAY 3a- 2b 4a12a 2 - 8ab + 5b

29. POLYNOMIALS – Product of Polynomials Binomial times a binomial EXAMPLE # 3 : Multiply ARRAY 3a- 2b 4a12a 2 - 8ab + 5b15ab

30. POLYNOMIALS – Product of Polynomials Binomial times a binomial EXAMPLE # 3 : Multiply ARRAY 3a- 2b 4a12a 2 - 8ab + 5b15ab- 10b 2

31. POLYNOMIALS – Product of Polynomials Binomial times a binomial EXAMPLE # 3 : Multiply ARRAY 3a- 2b 4a12a 2 - 8ab + 5b15ab- 10b 2 Use filled in cells to get answer. Combine any like terms.