\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Are the following subsets of \(\mathbb{R}[X]\) subspaces?
  1. \(F = \{P \in \mathbb{R}[X] : P = 0 \text{ or } \deg P \ge 2\}\).
  2. \(G = \{P \in \mathbb{R}[X] : P(X^2) = P' + X^4 P\}\).

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