\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let \(P \in \mathbb{R}[X]\) irreducible. Show that for every \(A \in \mathbb{R}[X]\), either \(P \mid A\) or \(P \wedge A = 1\).
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