notes over 11.7

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. . y y y 6 by 30 24 42 Divide 1 2 Notes Over 11.7 Dividing a Polynomial by a Monomial Dividing a Polynomial by a Monomial y y y y y 6 30 6 24 6 42 2 7 4 y 7 4 y Divide each term of the numerator by 6y 5 y 5

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Notes Over 11.7. Dividing a Polynomial by a Monomial. Divide each term of the numerator by 6 y. Notes Over 11.7. Dividing a Polynomial by a Monomial. Divide each term of the numerator by -3 x. Notes Over 11.7. Polynomial Long Division. 1. What do you multiply x by to get x 2. - PowerPoint PPT Presentation

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Page 1: Notes Over 11.7

.. yyy 6by 302442 Divide 1 2

Notes Over 11.7Dividing a Polynomial by a MonomialDividing a Polynomial by a Monomial

yy

y

y

y

6

30

6

24

6

42 2

7 4

y7 4

y

Divide each term of the numerator by 6y

5

y

5

Page 2: Notes Over 11.7

.. xxx 3by 2118 Divide 2 2

Notes Over 11.7Dividing a Polynomial by a MonomialDividing a Polynomial by a Monomial

x

x

x

x

3

21

3

18 2

6 7

x6 7

x

Divide each term of the numerator by -3x

Page 3: Notes Over 11.7

.. 1by 64 Divide 3 2 xxx

Notes Over 11.7Polynomial Long DivisionPolynomial Long Division

641 2 xxx

5x1

1

x

x1. What do you multiply x by to get x2

2. Multiply by dist. propxx 2

3. Change signs and add x5 6 4. What do you multiply

x by to get –5x

5

55 x 5. Multiply by dist. prop

6. Change signs and add

1

Page 4: Notes Over 11.7

.. 3by 126 Divide 4 2 xxx

Notes Over 11.7Polynomial Long DivisionPolynomial Long Division

1263 2 xxx

9x3

15

x

x1. What do you multiply x by to get x2

2. Multiply by dist. propxx 3 2 3. Change signs and add x9 12 4. What do you multiply

x by to get 9x

9

279 x 5. Multiply by dist. prop

6. Change signs and add

15

Page 5: Notes Over 11.7

.. 23by 1053 Divide 5 2 xxx

Notes Over 11.7Polynomial Long DivisionPolynomial Long Division

105323 2 xxx

1x23

12

x

x1. What do you multiply 3x by to get 3x2

2. Multiply by dist. propxx 23 2 3. Change signs and add x3 10 4. What do you multiply

3x by to get –3x

1

2 3 x5. Multiply by dist. prop

6. Change signs and add

12

Page 6: Notes Over 11.7

.. 12by 352 Divide 6 2 xxx

Notes Over 11.7Polynomial Long DivisionPolynomial Long Division

35212 2 xxx

3x12

6

x

x1. What do you multiply 2x by to get 2x2

2. Multiply by dist. propxx 2 2 3. Change signs and add x6 3 4. What do you multiply

2x by to get 6x

3

36 x5. Multiply by dist. prop

6. Change signs and add

6

Page 7: Notes Over 11.7

.. 8by 134 Divide 7 2 xxx

Notes Over 11.7Polynomial Long DivisionPolynomial Long Division

13 48 2 xxx

314 x8

235

x

x41. What do you multiply x by to get 4x2

2. Multiply by dist. propxx 234 2 3. Change signs and add x31 13 4. What do you multiply

x by to get -31x

31

24831 x5. Multiply by dist. prop

6. Change signs and add

235

Page 8: Notes Over 11.7

.. 5by 1156 Divide 8 2 xxx

Notes Over 11.7Polynomial Long DivisionPolynomial Long Division

115 65 2 xxx

156 x5

76

x

x61. What do you multiply x by to get -6x2

2. Multiply by dist. propxx 036 2 3. Change signs and add x15 1 4. What do you multiply

x by to get -15x

15

7515 x 5. Multiply by dist. prop

6. Change signs and add

76

Page 9: Notes Over 11.7

.. 3by 14 Divide 9 2 xx

Notes Over 11.7Polynomial Long DivisionPolynomial Long Division

10 43 2 xxx

124 x3

35

x

x4 1. Insert place-holding term

3. Multiply by dist. propxx 124 2

4. Change signs and add

x12 1

5. What do you multiply x by to get 12x

12

3612 x6. Multiply by dist. prop

7. Change signs and add

35

2. What do you multiply x by to get 4x2

Page 10: Notes Over 11.7

.. yyy 2by 1536 Divide 10 2

Notes Over 11.7Polynomial Long DivisionPolynomial Long Division

15362 2 yyy

96 y2

3

y

y61. Write in standard form

3. Multiply by dist. propyy 126 2

4. Change signs and add

y9 15

5. What do you multiply y by to get –9y

9

189 y

6. Multiply by dist. prop

7. Change signs and add

3

2. What do you multiply y by to get 6y2

Page 11: Notes Over 11.7

.. 1by 36 Divide 11 2 xx

Notes Over 11.7Polynomial Long DivisionPolynomial Long Division

3061 2 xxx

66 x1

3

x

x6 1. Insert place-holding term

3. Multiply by dist. propxx 66 2

4. Change signs and add

x6 3

5. What do you multiply x by to get 6x

6

66 x6. Multiply by dist. prop

7. Change signs and add

3

2. What do you multiply x by to get 6x2

Page 12: Notes Over 11.7

.. xxx 4by 7104 Divide 12 2

Notes Over 11.7Polynomial Long DivisionPolynomial Long Division

71044 2 xxx

64 x4

17

x

x41. Write in standard form

3. Multiply by dist. propxx 164 2

4. Change signs and add

x6 7

5. What do you multiply x by to get -6x

6

246 x

6. Multiply by dist. prop

7. Change signs and add

17

2. What do you multiply x by to get 4x2

Page 13: Notes Over 11.7

Notes Over 11.7