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Fundamental theorem of symmetric polynomials
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Mathematics
Area of mathematics
Algebra
Polynomial
Elementary symmetric polynomial
Created
2026-09-24
Updated
2026-09-24
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Every
symmetric polynomial
over
a
commutative ring
has a
unique expression
as
a
polynomial
in the
elementary symmetric polynomials
.
Ancestors
(6)
Elementary symmetric polynomial
Polynomial
Algebra
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2001
/
iii
/
Paper 1
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5
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Solution
Past exam of the mathematics course of the University of Cambridge
/
2001
/
iii
/
Paper 77
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4
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2001
/
iii
/
Paper 8
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2
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2012
/
iii
/
Paper 3
/
5
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2018
/
iii
/
Paper 142
/
1
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2020
/
ii
/
Paper 2
/
18G
/
d
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Solution
Past exam of the mathematics course of the University of Cambridge
/
2020
/
ii
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Paper 4
/
18G
/
a
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Solution
Past exam of the mathematics course of the University of Cambridge
/
2021
/
ii
/
Paper 3
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18I
/
Solution
Symmetric polynomial
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