2.Let P3(IR) be the vector space of all polynomials of degree 3 or less (and the zeropolynomial). Determine whether p(x) = x³ – 5 + 8 is in the subspace (S), whereS = {67x* + x² + 9x + 4, 10x³ – 50x² + x + 6, 7x³ + 23x² – x + 17}.

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Answered: 2. Let P3(R) be the vector space of all…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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2. Let P3(R) be the vector space of all polynomials of degree 3 or less (and the zero polynomial). Determine whether p(x) = x³ – 5x + 8 is in the subspace (S), where S = {67x* + x² + 9x + 4, 10x³ – 50x² + x + 6, 7x* + 23x² – x + 17}.