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

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

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

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

Notes Over 6.5Using Synthetic Division

134 .5 2 xxx

1 1

Divide using synthetic division.

4 311

3

1

3 0x 3

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

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

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

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

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

Notes Over 6.5