x2 t02 04 forming polynomials (2012)
TRANSCRIPT
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Forming Polynomials With The Roots Of Another
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Forming Polynomials With The Roots Of Another
roots;with equation an formto,polynomialaofrootstheare , ,,If
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Forming Polynomials With The Roots Of Another
roots;with equation an formto,polynomialaofrootstheare , ,,If
,1,1,1 )1(
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Forming Polynomials With The Roots Of Another
roots;with equation an formto,polynomialaofrootstheare , ,,If
,1,1,1 )1( y
xx
y 1 substitute and 1let
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Forming Polynomials With The Roots Of Another
roots;with equation an formto,polynomialaofrootstheare , ,,If
,1,1,1 )1( y
xx
y 1 substitute and 1let
,,,)2( kkk
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Forming Polynomials With The Roots Of Another
roots;with equation an formto,polynomialaofrootstheare , ,,If
,1,1,1 )1( y
xx
y 1 substitute and 1let
,,,)2( kkkkyxkxy substitute and let
![Page 7: X2 t02 04 forming polynomials (2012)](https://reader031.vdocuments.us/reader031/viewer/2022020307/55abda8e1a28ab52678b47fc/html5/thumbnails/7.jpg)
Forming Polynomials With The Roots Of Another
roots;with equation an formto,polynomialaofrootstheare , ,,If
,1,1,1 )1( y
xx
y 1 substitute and 1let
,,,)2( kkkkyxkxy substitute and let
,,,c)3( cc
![Page 8: X2 t02 04 forming polynomials (2012)](https://reader031.vdocuments.us/reader031/viewer/2022020307/55abda8e1a28ab52678b47fc/html5/thumbnails/8.jpg)
Forming Polynomials With The Roots Of Another
roots;with equation an formto,polynomialaofrootstheare , ,,If
,1,1,1 )1( y
xx
y 1 substitute and 1let
,,,)2( kkkkyxkxy substitute and let
,,,c)3( cc cyxcxy substituteand let
![Page 9: X2 t02 04 forming polynomials (2012)](https://reader031.vdocuments.us/reader031/viewer/2022020307/55abda8e1a28ab52678b47fc/html5/thumbnails/9.jpg)
Forming Polynomials With The Roots Of Another
roots;with equation an formto,polynomialaofrootstheare , ,,If
,1,1,1 )1( y
xx
y 1 substitute and 1let
,,,)2( kkkkyxkxy substitute and let
,,,c)3( cc cyxcxy substituteand let
,,, )4( 222
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Forming Polynomials With The Roots Of Another
roots;with equation an formto,polynomialaofrootstheare , ,,If
,1,1,1 )1( y
xx
y 1 substitute and 1let
,,,)2( kkkkyxkxy substitute and let
,,,c)3( cc cyxcxy substituteand let
,,, )4( 222 21
2 substitute and let yxxy
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e.g.are; roots whose
equation an form ,02 of roots theare ,, If 3 xx
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e.g.are; roots whose
equation an form ,02 of roots theare ,, If 3 xx
1,1,1 a)
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e.g.are; roots whose
equation an form ,02 of roots theare ,, If 3 xx
1,1,1 a)
yx
xy
1
1let
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e.g.are; roots whose
equation an form ,02 of roots theare ,, If 3 xx
1,1,1 a)
yx
xy
1
1let
02113
yy
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e.g.are; roots whose
equation an form ,02 of roots theare ,, If 3 xx
1,1,1 a)
yx
xy
1
1let
02113
yy
021 32 yy
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11,1,b)
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11,1,b)
11let
yxxy
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11,1,b)
11let
yxxy 0211 3 yy
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11,1,b)
11let
yxxy 0211 3 yy
043021133
23
23
yyyyyyy
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11,1,b)
11let
yxxy 0211 3 yy
043021133
23
23
yyyyyyy
222 ,, c)
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11,1,b)
11let
yxxy 0211 3 yy
043021133
23
23
yyyyyyy
222 ,, c)
21
2let
yx
xy
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11,1,b)
11let
yxxy 0211 3 yy
043021133
23
23
yyyyyyy
222 ,, c)
21
2let
yx
xy
02213
21
yy
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11,1,b)
11let
yxxy 0211 3 yy
043021133
23
23
yyyyyyy
222 ,, c)
21
2let
yx
xy
02213
21
yy
0221
23
yy
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11,1,b)
11let
yxxy 0211 3 yy
043021133
23
23
yyyyyyy
222 ,, c)
21
2let
yx
xy
02213
21
yy
0221
23
yy
2121
yy
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11,1,b)
11let
yxxy 0211 3 yy
043021133
23
23
yyyyyyy
222 ,, c)
21
2let
yx
xy
02213
21
yy
0221
23
yy
2121
yy
41 2 yy
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11,1,b)
11let
yxxy 0211 3 yy
043021133
23
23
yyyyyyy
222 ,, c)
21
2let
yx
xy
02213
21
yy
0221
23
yy
2121
yy
41 2 yy
04242
23
23
yyyyyy
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2221,1,1 d)
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2221,1,1 d)
21
21let
yx
xy
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2221,1,1 d)
21
21let
yx
xy 022
123
yy
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2221,1,1 d)
21
21let
yx
xy 022
123
yy
2123
yy
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2221,1,1 d)
21
21let
yx
xy 022
123
yy
2123
yy
23
21 yy
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2221,1,1 d)
21
21let
yx
xy 022
123
yy
2123
yy
32 41 yy
23
21 yy
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2221,1,1 d)
21
21let
yx
xy 022
123
yy
2123
yy
32 41 yy
0124412
23
32
yyyyyy
23
21 yy
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222 Find e)
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222 Find e)
22
222
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222 Find e)
22
222
2
120 2
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222 Find e)
22
222
2
120 2
OR using equation found in c)
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222 Find e)
22
222
2
120 2
OR using equation found in c)
ab
222
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222 Find e)
22
222
2
120 2
OR using equation found in c)
ab
222
212
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222 Find e)
22
222
2
120 2
OR using equation found in c)
ab
222
212
Exercise 5D; 10 to 16
Exercise 5E; 2cd, 4b, 7, 9, 10, 18, 27, 30, 34, 35