\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Find \(P \in \mathbb{R}_3[X]\) (degree at most \(3\)) such that \(P(2) = 2\), \(P'(2) = 0\), \(P''(2) = 4\), and \(P^{(3)}(2) = 6\).
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