\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
In \(\mathbb{R}_2[X]\), determine the coordinates of \(P = 2 X^2 + 3 X - 1\) in the basis \(\mathcal{B} = (1, X - 1, (X - 1)^2)\).
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