\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Show that for every \(P \in \mathbb{K}[X]\) and every \(a \in \mathbb{K}\), the remainder of the Euclidean division of \(P\) by \(X - a\) equals \(P(a)\).
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