\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Compute \(A \wedge B\) and \(A \vee B\) in \(\mathbb{R}[X]\) for \(A = (X - 1)^3 (X + 2)\) and \(B = (X - 1)(X + 2)^2 (X + 3)\). Verify \((A \wedge B)(A \vee B) = A B\) (both already monic).
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