Solve the problem.Let H be the set of all polynomials of the form p(t) = a + bt2 where a and b are in ? and b > a. 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 vectorB: Closed under vector additionC: Closed under multiplication by scalars

A. H is not a vector space; not closed under multiplication by scalars
B. H is not a vector space; not closed under multiplication by scalars and does not contain zero vector
C. H is not a vector space; not closed under vector addition
D. H is not a vector space; does not contain zero vector


Answer: B

Mathematics

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