Transcript 8.3 Multiplying Binomials

8.3 Multiplying Binomials
Objective: to multiply two binomials
or a binomial by a trinomial
day 1
Using the distributive property to find the product of two binomials.
Review:
2(3x – 7)
2(3x
2(3x –– 7)
7)
6x - 14
6x
Simplify: (2x + 4) (3x – 7)
(2x + 4) (3x – 7)
2x(3x – 7) + 4 (3x – 7)
6𝑥 2 - 14x + 12x -28
6𝑥 2 - 2x - 28
Using the distributive property to find the product of two binomials.
Simplify: (x - 6) (4x + 3)
(x - 6) (4x + 3)
x(4x + 3) - 6 (4x + 3)
4𝑥 2 + 3x
-24x
4𝑥 2 - 21x - 18
-18
REVIEW: Using a table to multiply
mult
4
8
3
12
24
5
20
4x
40
8x
x
Using a table to multiple binomials
Simplify: (x - 3)(4x – 5)
x
-3
2
4x
4𝑥
-5
-5x
2
-12x
15
4𝑥 - 12x – 5x + 15
4𝑥 2 - 17x + 15
Using a table to multiple binomials
Simplify: (3x + 1)(x - 3)
3x
2
x
3𝑥
-3
-9x
2
3𝑥 + 1x – 9x - 3
3𝑥 2 - 8x - 3
+1
1x
-3
Simplify using the FOIL method
L
F
Simplify: (x + 3) (x + 1)
I
O
𝑥2
+ 1𝑥 +3𝑥 +3
𝑥 2 +4x + 3
FOIL
First
Outside
Inside
Last
Simplify using the FOIL method
FOIL
L
F
Simplify: (3x – 4) (2x - 7)
I
O
6𝑥 2 - 21𝑥 − 8𝑥 + 28
6𝑥 2 - 29x + 28
First
Outside
Inside
Last
Simplify using the FOIL method
L
F
Simplify: (5x – 3) (x + 7)
I O
FOIL
First
Outside
Inside
Last
5𝑥 2 +35𝑥 − 3𝑥 - 21
5𝑥 2 +32x - 21
Assignment:
pg 501: 8-28