\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Describe all \(Q \in \mathbb{R}[X]\) such that \(Q(0) = 1\), \(Q(1) = 0\), \(Q(2) = 1\). Hint. Use the all-interpolants-description proposition with \(P\) the Lagrange interpolant from the first exercise of this section.
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