Determine whether the following are subspaces of P4 (be careful!): (a) The set of

Chapter 3, Problem 5

(choose chapter or problem)

Determine whether the following are subspaces of P4 (be careful!): (a) The set of polynomials in P4 of even degree (b) The set of all polynomials of degree 3 (c) The set of all polynomials p(x) in P4 such that p(0) = 0 (d) The set of all polynomials in P4 having at least one real root

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