1. 8.3 Multiplying Binomials
Objective: to multiply two binomials or a binomial by a trinomial
day 1

2. Simplify: (2x + 4) (3x – 7) (2x + 4) (3x – 7) 2x(3x – 7) + 4 (3x – 7)
Using the distributive property to find the product of two binomials.
Review:
2(3x – 7)
2(3x – 7)
2(3x – 7)
6x - 14 6x
Simplify: (2x + 4) (3x – 7)
(2x + 4) (3x – 7)
2x(3x – 7) + 4 (3x – 7)
6 𝑥 2
- 14x
+ 12x
-28
6 𝑥 x - 28

3. Simplify: (x - 6) (4x + 3) (x - 6) (4x + 3) x(4x + 3) - 6 (4x + 3)
Using the distributive property to find the product of two binomials.
Simplify: (x - 6) (4x + 3)
(x - 6) (4x + 3)
x(4x + 3) (4x + 3)
4 𝑥 2
+ 3x
-24x
-18
4 𝑥 x - 18

4. REVIEW: Using a table to multiply3 5 x 12 24 20 40 4x 8x

5. Using a table to multiple binomials
Simplify: (x - 3)(4x – 5) x -3 4x
4 𝑥 2
-12x -5
-5x 15
4 𝑥 x – 5x + 15
4 𝑥 x + 15

6. Using a table to multiple binomials
Simplify: (3x + 1)(x - 3) 3x +1 x
3 𝑥 2 1x -3
-9x -3
3 𝑥 x – 9x - 3
3 𝑥 x - 3

7. FOIL L F Simplify: (x + 3) (x + 1) I O 𝑥 2 + 1𝑥 +3𝑥 +3 𝑥 2 +4x + 3
Simplify using the FOIL method L
FOIL
First
Outside
Inside
Last F
Simplify: (x + 3) (x + 1) I O
𝑥 2
+ 1𝑥
+3𝑥 +3
𝑥 2 +4x + 3

8. FOIL L F Simplify: (3x – 4) (2x - 7) I O 6 𝑥 2 - 21𝑥 − 8𝑥 + 28
Simplify using the FOIL method
FOIL
First
Outside
Inside
Last L F
Simplify: (3x – 4) (2x - 7) I O
6 𝑥 2
- 21𝑥
− 8𝑥
+ 28
6 𝑥 x + 28

9. FOIL L F Simplify: (5x – 3) (x + 7) I O 5 𝑥 2 +35𝑥 − 3𝑥 - 21
Simplify using the FOIL method
FOIL
First
Outside
Inside
Last L F
Simplify: (5x – 3) (x + 7) I O
5 𝑥 2
+35𝑥
− 3𝑥
- 21
5 𝑥 x - 21
Assignment:
pg 501: 8-28