12x1 t08 04 greatest coefficients & terms

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Greatest Coefficients and Greatest Terms

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Page 1: 12X1 T08 04 greatest coefficients & terms

Greatest Coefficients and Greatest Terms

Page 2: 12X1 T08 04 greatest coefficients & terms

Greatest Coefficients and Greatest Terms

ermgreatest t theis then If 11 kkk TTT

Page 3: 12X1 T08 04 greatest coefficients & terms

Greatest Coefficients and Greatest Terms

tcoefficiengreatest thefind 32expansion For the .. 20xge

ermgreatest t theis then If 11 kkk TTT

Page 4: 12X1 T08 04 greatest coefficients & terms

Greatest Coefficients and Greatest Terms

tcoefficiengreatest thefind 32expansion For the .. 20xge kkkk xCT 32 2020

1

ermgreatest t theis then If 11 kkk TTT

Page 5: 12X1 T08 04 greatest coefficients & terms

Greatest Coefficients and Greatest Terms

tcoefficiengreatest thefind 32expansion For the .. 20xge kkkk xCT 32 2020

1

ermgreatest t theis then If 11 kkk TTT

1211

20 32 kkkk xCT

Page 6: 12X1 T08 04 greatest coefficients & terms

Greatest Coefficients and Greatest Terms

tcoefficiengreatest thefind 32expansion For the .. 20xge kkkk xCT 32 2020

1

ermgreatest t theis then If 11 kkk TTT

1211

20 32 kkkk xCT

ermgreatest t theis then If 11 kkk TTT

Page 7: 12X1 T08 04 greatest coefficients & terms

Greatest Coefficients and Greatest Terms

tcoefficiengreatest thefind 32expansion For the .. 20xge

1211

202020 3232

kkk

kkk CC

kkkk xCT 32 2020

1

ermgreatest t theis then If 11 kkk TTT

1211

20 32 kkkk xCT

ermgreatest t theis then If 11 kkk TTT

Page 8: 12X1 T08 04 greatest coefficients & terms

Greatest Coefficients and Greatest Terms

tcoefficiengreatest thefind 32expansion For the .. 20xge

1211

202020 3232

kkk

kkk CC

kkkk xCT 32 2020

1

ermgreatest t theis then If 11 kkk TTT

1211

20 32 kkkk xCT

ermgreatest t theis then If 11 kkk TTT

132

32121

120

2020

kkk

kkk

C

C

Page 9: 12X1 T08 04 greatest coefficients & terms

132

32121

120

2020

kkk

kkk

C

C

Page 10: 12X1 T08 04 greatest coefficients & terms

132

32121

120

2020

kkk

kkk

C

C

123

!20!21!1

!20!!20

kkkk

Page 11: 12X1 T08 04 greatest coefficients & terms

132

32121

120

2020

kkk

kkk

C

C

123

!20!21!1

!20!!20

kkkk

12321

kk

Page 12: 12X1 T08 04 greatest coefficients & terms

132

32121

120

2020

kkk

kkk

C

C

123

!20!21!1

!20!!20

kkkk

12321

kk

kk 2363

Page 13: 12X1 T08 04 greatest coefficients & terms

132

32121

120

2020

kkk

kkk

C

C

123

!20!21!1

!20!!20

kkkk

12321

kk

kk 2363

563

635

k

k

Page 14: 12X1 T08 04 greatest coefficients & terms

132

32121

120

2020

kkk

kkk

C

C

123

!20!21!1

!20!!20

kkkk

12321

kk

kk 2363

563

635

k

k

12k

Page 15: 12X1 T08 04 greatest coefficients & terms

132

32121

120

2020

kkk

kkk

C

C

123

!20!21!1

!20!!20

kkkk

12321

kk

kk 2363

563

635

k

k

12ktcoefficiengreatest theis 32 128

1220

13 CT

Page 16: 12X1 T08 04 greatest coefficients & terms

21

when 43 of ermgreatest t theFind 15 xxii

Page 17: 12X1 T08 04 greatest coefficients & terms

21

when 43 of ermgreatest t theFind 15 xxii

kk

kk CT 423

1515

1

Page 18: 12X1 T08 04 greatest coefficients & terms

21

when 43 of ermgreatest t theFind 15 xxii

kk

kk CT 423

1515

1

(Ignore the negative as only

concerned with magnitude)

Page 19: 12X1 T08 04 greatest coefficients & terms

21

when 43 of ermgreatest t theFind 15 xxii

kk

kk CT 423

1515

1

116

115 4

23

k

k

kk CT

(Ignore the negative as only concerned with magnitude)

Page 20: 12X1 T08 04 greatest coefficients & terms

21

when 43 of ermgreatest t theFind 15 xxii

kk

kk CT 423

1515

1

116

115 4

23

k

k

kk CT

ermgreatest t theis then If 11 kkk TTT

(Ignore the negative as only concerned with magnitude)

Page 21: 12X1 T08 04 greatest coefficients & terms

21

when 43 of ermgreatest t theFind 15 xxii

116

115

1515 4

23

423

k

k

kk

k

k CC

kk

kk CT 423

1515

1

116

115 4

23

k

k

kk CT

ermgreatest t theis then If 11 kkk TTT

(Ignore the negative as only concerned with magnitude)

Page 22: 12X1 T08 04 greatest coefficients & terms

21

when 43 of ermgreatest t theFind 15 xxii

116

115

1515 4

23

423

k

k

kk

k

k CC

kk

kk CT 423

1515

1

116

115 4

23

k

k

kk CT

ermgreatest t theis then If 11 kkk TTT

1

423

423

116

115

1515

kk

k

kk

k

C

C

(Ignore the negative as only concerned with magnitude)

Page 23: 12X1 T08 04 greatest coefficients & terms

21

when 43 of ermgreatest t theFind 15 xxii

116

115

1515 4

23

423

k

k

kk

k

k CC

kk

kk CT 423

1515

1

116

115 4

23

k

k

kk CT

ermgreatest t theis then If 11 kkk TTT

1

423

423

116

115

1515

kk

k

kk

k

C

C

(Ignore the negative as only concerned with magnitude)

1

234

!15!16!1

!15!!15

kkkk

Page 24: 12X1 T08 04 greatest coefficients & terms

1

234

!15!16!1

!15!!15

kkkk

Page 25: 12X1 T08 04 greatest coefficients & terms

1

234

!15!16!1

!15!!15

kkkk

13816

kk

Page 26: 12X1 T08 04 greatest coefficients & terms

1

234

!15!16!1

!15!!15

kkkk

13816

kk

kk 38128

Page 27: 12X1 T08 04 greatest coefficients & terms

1

234

!15!16!1

!15!!15

kkkk

13816

kk

kk 38128

11128

12811

k

k

Page 28: 12X1 T08 04 greatest coefficients & terms

1

234

!15!16!1

!15!!15

kkkk

13816

kk

kk 38128

11128

12811

k

k

11k

Page 29: 12X1 T08 04 greatest coefficients & terms

1

234

!15!16!1

!15!!15

kkkk

13816

kk

kk 38128

11128

12811

k

k

11k11

4

1115

12 423

CT

Page 30: 12X1 T08 04 greatest coefficients & terms

1

234

!15!16!1

!15!!15

kkkk

13816

kk

kk 38128

11128

12811

k

k

11k11

4

1115

12 423

CT

ermgreatest t theis 23 18411

1512 CT

Page 31: 12X1 T08 04 greatest coefficients & terms

1

234

!15!16!1

!15!!15

kkkk

13816

kk

kk 38128

11128

12811

k

k

11k11

4

1115

12 423

CT

ermgreatest t theis 23 18411

1512 CT

Exercise 5E; 1 to 5,6ac, 7bd, 8b, 10