\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
For each pair, decide whether \(A\) and \(B\) are associated in \(\mathbb{R}[X]\). If yes, give the scalar \(\lambda\) such that \(B = \lambda A\).
  1. \(A = X^2 - 1\), \(B = 3 X^2 - 3\).
  2. \(A = X^2 + 1\), \(B = X^2 - 1\).
  3. \(A = 2 X^3 - 4 X + 6\), \(B = -X^3 + 2 X - 3\).
  4. \(A = (X - 1)(X + 2)\), \(B = X^2 + X - 2\).

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