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Forming Polynomials With The Roots Of Another
Forming Polynomials With The Roots Of Another
roots;with equation an formto,polynomialaofrootstheare , ,,If
Forming Polynomials With The Roots Of Another
roots;with equation an formto,polynomialaofrootstheare , ,,If
,1,1,1 )1(
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
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
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
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
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
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
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
e.g.are; roots whose
equation an form ,02 of roots theare ,, If 3 xx
e.g.are; roots whose
equation an form ,02 of roots theare ,, If 3 xx
1,1,1 a)
e.g.are; roots whose
equation an form ,02 of roots theare ,, If 3 xx
1,1,1 a)
yx
xy
1
1let
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
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
11,1,b)
11,1,b)
11let
yxxy
11,1,b)
11let
yxxy 0211 3 yy
11,1,b)
11let
yxxy 0211 3 yy
043021133
23
23
yyyyyyy
11,1,b)
11let
yxxy 0211 3 yy
043021133
23
23
yyyyyyy
222 ,, c)
11,1,b)
11let
yxxy 0211 3 yy
043021133
23
23
yyyyyyy
222 ,, c)
21
2let
yx
xy
11,1,b)
11let
yxxy 0211 3 yy
043021133
23
23
yyyyyyy
222 ,, c)
21
2let
yx
xy
02213
21
yy
11,1,b)
11let
yxxy 0211 3 yy
043021133
23
23
yyyyyyy
222 ,, c)
21
2let
yx
xy
02213
21
yy
0221
23
yy
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
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
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
2221,1,1 d)
2221,1,1 d)
21
21let
yx
xy
2221,1,1 d)
21
21let
yx
xy 022
123
yy
2221,1,1 d)
21
21let
yx
xy 022
123
yy
2123
yy
2221,1,1 d)
21
21let
yx
xy 022
123
yy
2123
yy
23
21 yy
2221,1,1 d)
21
21let
yx
xy 022
123
yy
2123
yy
32 41 yy
23
21 yy
2221,1,1 d)
21
21let
yx
xy 022
123
yy
2123
yy
32 41 yy
0124412
23
32
yyyyyy
23
21 yy
222 Find e)
222 Find e)
22
222
222 Find e)
22
222
2
120 2
222 Find e)
22
222
2
120 2
OR using equation found in c)
222 Find e)
22
222
2
120 2
OR using equation found in c)
ab
222
222 Find e)
22
222
2
120 2
OR using equation found in c)
ab
222
212
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
