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)