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Using the distributive property to find the product of two binomials. Simplify: (x - 6) (4x + 3) x(4x + 3) - 6 (4x + 3) (x - 6) (4x + 3) + 3x -24x-18
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8.3 Multiplying Binomials
Objective: to multiply two binomials or a binomial by a trinomial
Using the distributive property to find the product of two binomials.
Review: 2(3x – 7)2(3x – 7)6x 6x - 14
Simplify: (2x + 4) (3x – 7)
2(3x – 7)
2x(3x – 7) + 4 (3x – 7)
(2x + 4) (3x – 7)
6
6 - 2x - 28
- 14x + 12x -28
Using the distributive property to find the product of two binomials.
Simplify: (x - 6) (4x + 3)
x(4x + 3) - 6 (4x + 3)
(x - 6) (4x + 3)
4
4 - 21x - 18
+ 3x -24x -18
1. (x + 4)(x – 1)
2. (3x + 6)(2x – 5)
Using a table to multiple binomials
Simplify: (x - 3)(4x – 5)
4 -12x
-5x 15
4 - 12x – 5x + 154 - 17x + 15
x -3
4x
-5
Using a table to multiple binomials
Simplify: (3x + 1)(x - 3)
3 1x
-9x -3
3 + 1x – 9x - 33 - 8x - 3
3x +1
x
-3
Simplify using the FOIL method
Simplify: (x + 3) (x + 1)
FOIL First Outside Inside Last
F
OI
L
𝑥2+1 𝑥+3 𝑥+3
+4x + 3
Simplify using the FOIL method
Simplify: (3x – 4) (2x - 7)
FOIL First Outside Inside Last
F
O
I
L
6 𝑥2- −8𝑥+28
- 29x + 28
Simplify using the FOIL method
Simplify: (5x – 3) (x + 7)
FOIL First Outside Inside Last
F
OI
L
5 𝑥2+ −3 𝑥- 21
+32x - 21
Assignment: pg 501: 8-28
Use the FOIL method to multiply (x + 4)(x – 1)
2. Multiply (2a – 2)(a – 3)
3. Multiply (5y + 4)(2y – 3)
4. Multiply (y + 2)(y2 – 2y + 3)
5. Multiply (2x – 1)(3x2 – x – 4)
Exit Ticket!
1. (3x – 4)(x – 5)
2. (x + 2)(x – 2)