\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let \(A = (X - 1)^2 (X + 2)(X + 3)\) and \(B = (X - 1)(X + 2)^2 (X - 5)\) in \(\mathbb{R}[X]\). Write down \(A \vee B\) directly by reading the maximum exponent at each monic irreducible factor appearing in \(A\) or \(B\) (no algorithm needed).
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