1.(-7) (-2) 2.(3)(-6) 3.(4)(5) 4.(-3) (4t) 5.(2)(-2x) 6.(7y)(3) 7.3(s+5) 8.4(-n+2) 9.4-(t+2)...

17
1. (-7) (-2) 2. (3)(-6) 3. (4)(5) 4. (-3) (4t) 5. (2)(-2x) 6. (7y)(3) 7. 3(s+5) 8. 4(-n+2) 9. 4-(t+2) 10.3n+(2-n) Bellwork

Transcript of 1.(-7) (-2) 2.(3)(-6) 3.(4)(5) 4.(-3) (4t) 5.(2)(-2x) 6.(7y)(3) 7.3(s+5) 8.4(-n+2) 9.4-(t+2)...

Page 1: 1.(-7) (-2) 2.(3)(-6) 3.(4)(5) 4.(-3) (4t) 5.(2)(-2x) 6.(7y)(3) 7.3(s+5) 8.4(-n+2) 9.4-(t+2) 10.3n+(2-n)

1. (-7) (-2)

2. (3)(-6)

3. (4)(5)

4. (-3) (4t)

5. (2)(-2x)

6. (7y)(3)

7. 3(s+5)

8. 4(-n+2)

9. 4-(t+2)

10.3n+(2-n)

Bellwork

Page 2: 1.(-7) (-2) 2.(3)(-6) 3.(4)(5) 4.(-3) (4t) 5.(2)(-2x) 6.(7y)(3) 7.3(s+5) 8.4(-n+2) 9.4-(t+2) 10.3n+(2-n)

1. (-7) (-2) = 14

2. (3)(-6) = -18

3. (4)(5) = 20

4. (-3) (4t) = -12t

5. (2)(-2x) = -4x

6. (7y)(3) = 21y

7. 3(s+5) = 3s+15

8. 4(-n+2) = -4n+8

9. 4-(t+2) = -t+2

10. 3n+(2-n) = 2n+2

Bellwork

Page 3: 1.(-7) (-2) 2.(3)(-6) 3.(4)(5) 4.(-3) (4t) 5.(2)(-2x) 6.(7y)(3) 7.3(s+5) 8.4(-n+2) 9.4-(t+2) 10.3n+(2-n)

NotesMultiplying Polynomials:

Distributive Property

Page 4: 1.(-7) (-2) 2.(3)(-6) 3.(4)(5) 4.(-3) (4t) 5.(2)(-2x) 6.(7y)(3) 7.3(s+5) 8.4(-n+2) 9.4-(t+2) 10.3n+(2-n)

A Blast from the Past…

Page 5: 1.(-7) (-2) 2.(3)(-6) 3.(4)(5) 4.(-3) (4t) 5.(2)(-2x) 6.(7y)(3) 7.3(s+5) 8.4(-n+2) 9.4-(t+2) 10.3n+(2-n)

What if we change it up??

Page 6: 1.(-7) (-2) 2.(3)(-6) 3.(4)(5) 4.(-3) (4t) 5.(2)(-2x) 6.(7y)(3) 7.3(s+5) 8.4(-n+2) 9.4-(t+2) 10.3n+(2-n)

We can make it a little more complex….

Page 7: 1.(-7) (-2) 2.(3)(-6) 3.(4)(5) 4.(-3) (4t) 5.(2)(-2x) 6.(7y)(3) 7.3(s+5) 8.4(-n+2) 9.4-(t+2) 10.3n+(2-n)

Now you can do #1-6

Assignment 9-2

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NotesMultiplying Polynomials:

Distribution Method

Page 9: 1.(-7) (-2) 2.(3)(-6) 3.(4)(5) 4.(-3) (4t) 5.(2)(-2x) 6.(7y)(3) 7.3(s+5) 8.4(-n+2) 9.4-(t+2) 10.3n+(2-n)

Knowing what we know can we solve:

?

What about :

?

What if?....

Page 10: 1.(-7) (-2) 2.(3)(-6) 3.(4)(5) 4.(-3) (4t) 5.(2)(-2x) 6.(7y)(3) 7.3(s+5) 8.4(-n+2) 9.4-(t+2) 10.3n+(2-n)

Confused????

This distribution method has a special name to help remind us what to do:

F-O-I-LMethod

Page 11: 1.(-7) (-2) 2.(3)(-6) 3.(4)(5) 4.(-3) (4t) 5.(2)(-2x) 6.(7y)(3) 7.3(s+5) 8.4(-n+2) 9.4-(t+2) 10.3n+(2-n)

Foil method

Multiply the First terms Multiply the Outside terms Multiply the Inside terms Multiply the Last terms Then add the inside and the outside products.

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Foil Method

(x+3)(x+5)

First: x2

Outside: 5x

Inside: 3x

Last: 15

F O I L

x2 + 5x + 3x + 15

x2 + 8x + 15

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Example

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Example

Page 15: 1.(-7) (-2) 2.(3)(-6) 3.(4)(5) 4.(-3) (4t) 5.(2)(-2x) 6.(7y)(3) 7.3(s+5) 8.4(-n+2) 9.4-(t+2) 10.3n+(2-n)

Can we simplify these?

Page 16: 1.(-7) (-2) 2.(3)(-6) 3.(4)(5) 4.(-3) (4t) 5.(2)(-2x) 6.(7y)(3) 7.3(s+5) 8.4(-n+2) 9.4-(t+2) 10.3n+(2-n)

Example

Page 17: 1.(-7) (-2) 2.(3)(-6) 3.(4)(5) 4.(-3) (4t) 5.(2)(-2x) 6.(7y)(3) 7.3(s+5) 8.4(-n+2) 9.4-(t+2) 10.3n+(2-n)

Now you can do #7-15

Assignment 9-2