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CAHSEE Review. 8.3 Multiplying Binomials. Objective: SWBAT multiply polynomials using different methods. Mini Quiz 4. Andrea had a bag with 60 M&amp;M’s in it. She ate 15 of the M&amp;M’s. What percent of the bag did she eat?

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### 8.3 Multiplying Binomials

Objective: SWBAT multiply polynomials using different methods.

Mini Quiz 4
• Andrea had a bag with 60 M&M’s in it. She ate 15 of the M&M’s. What percent of the bag did she eat?
• Jamal is going to buy a necklace as a gift for his mother. The necklace has been discounted 20% off the original price of \$80. What is the sale price of the necklace?
Overview

Multiply Binomials

• Using the “Box”
• Double Distributive
• FOIL
Method I:Multiplying with “The Box”

Find the Product: (x + 3)(x + 5)

x + 5

x

+3

x2

5x

x2 + 8x + 15

3x

15

Method I:Multiplying with “The Box”

Now multiply the following with “the box” method.

1.

2.

3.

4.

x2 – 16

2x2 + 3x – 2

x2 – 6x + 9

6x3 + 20x2 – 8x + 32

Method II:Multiplying with Distribution

Find the Product: (x + 3)(x + 5)

(x + 3) x

x2

x2 + 8x + 15

(x + 3) 5

+

+3x

+

5x

+ 15

Method II:Multiplying with Distribution

Try these problems:

5.

6.

7.

8.

x2 + 16x + 63

x2 – 14x + 49

16x2 – 9

8x3 – 6x2 + 10x + 3

Method III:“FOIL” (only for 2 x 2)

Find the Product: (x + 3)(x + 5)

First:

Outer:

Inner:

Last:

x2 + 8x + 15

x2

+ 5x

+ 3x

+ 15

Method III:“FOIL” (only for 2 x 2)

( )( )

9. (3x2 – 9)(5x – 1)

10. (w – 5)(w + 5)

11. (x + 4)2

12. (2x – 6)(x2 + 3x – 1)

15x3 – 3x2 – 45x + 9

w2 – 25

x2 + 8x + 16

2x3 – 20x + 6

Wrap Up

Multiply Binomials

• Using the “Box”
• Double Distributive
• FOIL – First, Outer, Inner, Last

(only for 2 x 2)

HW: P. 383 #1-37 EOO;

P. 391 #15-19 odd, 27-35 odd

DLUQ:

( )( )