let H be the set of all polynomials of the form P(t)=a+bt^2 where a and b are in R 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 vector B:closed inder vector addition C: closed under multiplication by scalars A) His not a vector space; does not contain zero vector B) His 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; not closed under multiplication by scalars.