Corollary

Tag 069T, permanent. Cite it as [Bourbaki, Tag 069T].

For a polynomial $u \in A[X]$ to be homogeneous of degree $k$ it is necessary and sufficient that :

u(X.Z) = u(X) \cdot Z^k.

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

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