Notes Over 6.5 Using Polynomial Long Division

11
5 1 3 2 . 1 2 x x x Notes Over 6.5 Using Polynomial Long Division Using Polynomial Long Division 1 3 2 5 2 x x x 13 2 x 5 66 x x 2 1. What do you multiply x by to get 2x 2 2. Multiply by dist. prop x x 10 2 2 3. Change signs and add x 13 1 4. What do you multiply x by to get –13x 13 65 13 x 5. Multiply by dist. prop 6. Change signs and add 66 Divide using polynomial long division

description

Notes Over 6.5 Using Polynomial Long Division Divide using polynomial long division 1. What do you multiply x by to get 3x2 2. Multiply by dist. prop 3. Change signs and add 4. What do you multiply x by to get 2x 5. Multiply by dist. prop 6. Change signs and add

Transcript of Notes Over 6.5 Using Polynomial Long Division

Page 1: Notes Over 6.5 Using Polynomial Long Division

5 132 .1 2 xxx

Notes Over 6.5Using Polynomial Long DivisionUsing Polynomial Long Division

1325 2 xxx

132 x 566

x

x2 1. What do you multiply x by to get 2x2

2. Multiply by dist. propxx 102 2 3. Change signs and add x13 1 4. What do you multiply

x by to get –13x

13

6513 x 5. Multiply by dist. prop6. Change signs and add

66

Divide using polynomial long division

Page 2: Notes Over 6.5 Using Polynomial Long Division

Notes Over 6.5Using Polynomial Long DivisionUsing Polynomial Long Division

23 x 16

x

Divide using polynomial long division

431 2 xxxx3 1. What do you multiply

x by to get 3x2

2. Multiply by dist. propxx 33 2 3. Change signs and add x2 4 4. What do you multiply

x by to get 2x

2

2 2 x 5. Multiply by dist. prop6. Change signs and add

6

1 43 .2 2 xxx

Page 3: Notes Over 6.5 Using Polynomial Long Division

Notes Over 6.5Using Polynomial Long DivisionUsing Polynomial Long Division

4x 214

x

Divide using polynomial long division

622 2 xxxx 1. What do you multiply

x by to get x2

2. Multiply by dist. propxx 22 3. Change signs and add x4 6 4. What do you multiply

x by to get -4x

4

8 4 x 5. Multiply by dist. prop6. Change signs and add

14

2 62 .3 2 xxx

Page 4: Notes Over 6.5 Using Polynomial Long Division

Notes Over 6.5Using Polynomial Long DivisionUsing Polynomial Long Division

3x 817

x

Divide using polynomial long division

758 2 xxxx 1. What do you multiply

x by to get x2

2. Multiply by dist. propxx 82 3. Change signs and add x3 7 4. What do you multiply

x by to get 3x

3

24 3 x 5. Multiply by dist. prop6. Change signs and add

17

8 75 .4 2 xxx

Page 5: Notes Over 6.5 Using Polynomial Long Division

Notes Over 6.5Using Synthetic Division

134 .5 2 xxx

1 1

Divide using synthetic division.

4 311

3

1

3 0x 3

Page 6: Notes Over 6.5 Using Polynomial Long Division

Notes Over 6.5Using Synthetic Division

3352 .6 2 xxx

3 2

Divide using synthetic division.

5 32

1

3

3 0x2 1

3

6

Page 7: Notes Over 6.5 Using Polynomial Long Division

Notes Over 6.5Using Synthetic Division

4152 .7 2 xxxDivide using synthetic division.

x 24

7

x

4 1 2 1514

2

4

8 7

Page 8: Notes Over 6.5 Using Polynomial Long Division

Notes Over 6.5Using Synthetic Division

28103 .8 2 xxx

2 3

Divide using synthetic division.

10 83

4

2

8 0x3 4

2

6

Page 9: Notes Over 6.5 Using Polynomial Long Division

Notes Over 6.5Factoring a Polynomial

3 ;1892 .9 23 kxxxFactor the polynomial given that f(k) = 0.

3 1 2 9 1813

5

3

15 6 0

3

182x x5 6

x x3 2 3x

Page 10: Notes Over 6.5 Using Polynomial Long Division

Notes Over 6.5Factoring a Polynomial

4 ;810 .10 23 kxxxFactor the polynomial given that f(k) = 0.

4 1 1 10 814

3

4

12 2 0

4

82x x3 2

x x2 1 4x

Page 11: Notes Over 6.5 Using Polynomial Long Division

Notes Over 6.5