Download - 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
.. 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
.. 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
.. 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
.. 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
.. 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
.. 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
.. 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
.. 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
.. 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
.. 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
.. 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
Notes Over 11.7