Mathematics, 25.02.2020 23:53 sere50

Determine whether the set, together with the indicated operations, is a vector space. If it is not, then identify one of the vector space axioms that fails. The set of all eighth-degree polynomials with the standard operations.

(A) The set is a vector space.
(B) The set is not a vector space because it is not closed under addition.
(C) The set is not a vector space because the associative property of addition is not satisfied
(D) The set is not a vector space because an additive inverse does not exist.
(E) The set is not a vector space because the distributive property of scalar multiplication is not satisfied.

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Determine whether the set, together with the indicated operations, is a vector space. If it is not,...

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