Example 3

Tag 06FM, permanent. Cite it as [Bourbaki, Tag 06FM].

Algebra, chapter IV, § 6. Symmetric functions

Let $m = 2$ . By Example2 (IV, p. 81) we have $\Delta(A_1, A_2) = A_1^2 - 4A_2$ , whence $\tilde{\Delta}(A_0, A_1, A_2) = A_1^2 - 4A_0A_2$ . In other words, we have

\mathrm{dis}_2(a_0X^2 + a_1X + a_2) = a_1^2 - 4a_0a_2 .

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

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