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. x + 7 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. x
+ 7
One binomial fills in the remaining upper cells.

12. x + 7 - 5 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. x
+ 7
- 5
One binomial fills in the remaining upper cells.
The other binomial fills in the remaining left side cells.

13. x + 7 - 5 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
- 5
We will fill in the remaining cells using multiplication .

14. x + 7 - 5 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
- 5
We will fill in the remaining cells using multiplication .

15. x + 7 - 5 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
- 5
We will fill in the remaining cells using multiplication .

16. x + 7 - 5 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
- 5
We will fill in the remaining cells using multiplication .

17. x + 7 - 5 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
- 5
We will fill in the remaining cells using multiplication .

18. x + 7 - 5 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
- 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
FOILt…
FIRST –
OUTSIDE –
INSIDE –
LAST –

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

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

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

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

27. 3a - 2b 4a 12a2 + 5b POLYNOMIALS – Product of Polynomials
Binomial times a binomial
EXAMPLE # 3 : Multiply
ARRAY 3a
- 2b 4a
12a2
+ 5b

28. 3a - 2b 4a 12a2 - 8ab + 5b POLYNOMIALS – Product of Polynomials
Binomial times a binomial
EXAMPLE # 3 : Multiply
ARRAY 3a
- 2b 4a
12a2
- 8ab
+ 5b

29. 3a - 2b 4a 12a2 - 8ab + 5b 15ab POLYNOMIALS – Product of Polynomials
Binomial times a binomial
EXAMPLE # 3 : Multiply
ARRAY 3a
- 2b 4a
12a2
- 8ab
+ 5b
15ab

30. POLYNOMIALS – Product of Polynomials
Binomial times a binomial
EXAMPLE # 3 : Multiply
ARRAY 3a
- 2b 4a
12a2
- 8ab
+ 5b
15ab
- 10b2

31. POLYNOMIALS – Product of Polynomials
Binomial times a binomial
EXAMPLE # 3 : Multiply
ARRAY 3a
- 2b 4a
12a2
- 8ab
+ 5b
15ab
- 10b2
Use filled in cells to get answer. Combine any like terms.