[Solution] We denote the linear space (vector space) of all polynomials of degree less than or equal to n by \mathcalP_n. Which of the following subsets of
Question: We denote the linear space ( vector space) of all polynomials of degree less than or equal to \(n\) by \(\mathcal{P}_{n}\). Which of the following subsets of \(\mathcal{P}_{2}\) are subspaces? Why?
a: \(\left\{f \in \mathcal{P}_{2} \mid f(3)=2\right\}\)
b: \(\left\{f \in \mathcal{P}_{2} \mid f^{\prime}(x)-3 f(x)=0\right\}\).
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