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Let Pn denote the set of polynomials of degree less than n , which of the following is a sunspace of P4?

(1)The set of polynomials in P4 of even degree.
(2)The set of polynomials in P4 of degree 3.
(3)The set of polynomials in P4 such that P(0)=0.
(4)The set of polynomials in P4 having at least one real root.

想請問線性代數還記得的人第二個為甚麼不是子空間呢?
(解答說 0 不在那個空間@@)

感謝指教。
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