Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.4: Complex And Rational Zeros Of Polynomials
Problem 32E
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Determine whether the following polynomials u, v, w in P(1) are linearly dependent or independent:
(a) u = – 41² + 3t + 3, v=r° + 2r² +41 – 1, w= 2r³ – ² – 31 + 5;
(b) u = – 5r² – 21 + 3, v=r – 4? – 31 + 4, w= 2r³ – 172 – 71 + 9.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F63b52af3-1e03-46d9-a495-b08c17f949fc%2F343af865-4b8c-401c-a46a-df0d1c65f384%2Fcpaq7g_processed.png&w=3840&q=75)
Transcribed Image Text:3-
Determine whether the following polynomials u, v, w in P(1) are linearly dependent or independent:
(a) u = – 41² + 3t + 3, v=r° + 2r² +41 – 1, w= 2r³ – ² – 31 + 5;
(b) u = – 5r² – 21 + 3, v=r – 4? – 31 + 4, w= 2r³ – 172 – 71 + 9.
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