Question: Let (p: mathbb{R} ightarrow mathbb{R}) be a polynomial and (u in C_{c}(mathbb{R})). Show that (u star p) exists and is again a polynomial.

Let \(p: \mathbb{R} ightarrow \mathbb{R}\) be a polynomial and \(u \in C_{c}(\mathbb{R})\). Show that \(u \star p\) exists and is again a polynomial.

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