1. Multiplying Binomials

2. Table of Contents Pg Title Vocab LI/SC, Guided Practice
Adding and Subtracting Polynomials
Multiplying Binomials

3. Learning Intention/Success Criteria
LI: We are learning to multiply binomials SC: I know how to -add positive and negative integers -subtract positive and negative integers -multiply positive and negative integers -multiply binomials using the FOIL Method -multiply binomials by multiplying vertically -multiply binomials using the Box Method -decide which method works best for me

4. Example 1: Multiply using FOIL Method
(x + 3)(x + 2)
(x + 3)(x + 2)
F O I L
x  x
= x2
x  2
= 2x
3  x
= 3x
3  2
= 6
x2 + 2x + 3x + 6
x2 + 5x + 6

5. Guided Practice 1 Multiply using FOIL: (x + 4)(x – 2) F O I L x  x
x2 - 2x + 4x – 8
x2 + 2x – 8
x  -2
= -2x
4  x
= 4x
4  -2
= -8

6. Guided Practice 2 Multiply using FOIL: (x – 7)(x – 6) F O I L x  x
x2 - 6x - 7x + 42
x2 - 13x + 42
x  -6
= -6x
-7  x
= -7x
-7  -6
= 42

7. Example 2: Multiply Vertically
(x + 3)(x + 2)
x + 3
x + 2
_________ 2x
+ 6 x2
+ 3x
____________ x2
+ 5x
+ 6

8. Guided Practice 3 Multiply Vertically: (x + 4)(x – 2) x + 4 x – 2
_________
-2x
– 8 x2
+ 4x
____________ x2
+ 2x
– 8

9. Guided Practice 4 Multiply Vertically: (x – 7)(x – 6) x – 7 x – 6
________
-6x
+ 42 x2
- 7x
____________ x2
- 13x
+ 42

10. Example 3: Multiply using Box Method
(x + 3)(x + 2) x
+ 3 x2 3x x
+ 2 2x 6
x2 + 2x + 3x + 6
x2 + 5x + 6

11. Guided Practice 5 Multiply Using Box Method: (x + 4)(x – 2) x + 4
- 2
-2x -8

12. Guided Practice 6 Multiply Using Box Method: (x – 7)(x – 6) x - 7
- 6
-6x 42