\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Factor \(P = X^4 - 4 X^3 + 8 X^2 - 8 X + 4\) in \(\mathbb{R}[X]\), knowing that \(1 + i\) is a root.
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