Determine whether the following are subspaces of P4. If so, prove it. If not, show or explain

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Determine whether the following are subspaces of P4. If so, prove it. If not, show or explain why.

(a.) The set of all polynomials in P4 of even degree.

(b.) The set of all polynomials of degree 3.

(c.) The set of all polynomials p 2 P4 such that p(0) = 0.

(d.) The set of all polynomials in P4 has at least one real root.

Related Book For answer-question

Elementary Linear Algebra with Applications

ISBN: 978-0471669593

9th edition

Authors: Howard Anton, Chris Rorres

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Posted Date: Mar 11, 2022 07:08 AM

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Determine whether the following are subspaces of P4. If so, prove it. If not, show or explain

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In order to be a subspace you must meet only three conditions 1 The set contains the O vector in thi... View the full answer

Elementary Linear Algebra with Applications

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