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Elementary symmetric polynomial

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{wiki=Newton's_identities}

Newton's identities relate the elementary symmetric polynomials $e_k$ to the power sums $p_k=\sum_i x_i^k$. The first three give
$$
e_1=p_1,
\qquad
2e_2=p_1^2-p_2,
\qquad
6e_3=p_1^3-3p_1p_2+2p_3.
$$


Newton identities

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Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 142 / 3 / Solution

Newton identities

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Newton identities

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