Question: Question 5 Solve the problem. Let H be the set of all polvnomials having degree at most 4 and rational coefcients. Determine whether H is

Question 5 Solve the problem. Let H be the set of all polvnomials having degree at most 4 and rational coefcients. Determine whether H is a vector space. If it is not a vector space, determine which of the following properties it fails to satisfy. A: Contains zero vector B: Closed under vector addition C: Closed under multiplication by scalars O H is not a vector space; not closed under vector addition O H is a vector space. 0 H is not a vector space; does not contain zero vector 0 H is not a vector space: not closed under multiplication by scalars

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