4. The set W of polynomials of the form ao + a₁x + a₂x² + a3x³ + a4x¹, where ao = a₂ and a₁ = az subspace of P4. Find dim(W) (you must show how you got your answer).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 56E
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4. The set W of polynomials of the form ao + a₁x + a₂x² + 3x³ + α₁x¹, where ao = az and
a₁ = az is a
subspace of P4. Find dim(W) (you must show how you got your answer).
Transcribed Image Text:4. The set W of polynomials of the form ao + a₁x + a₂x² + 3x³ + α₁x¹, where ao = az and a₁ = az is a subspace of P4. Find dim(W) (you must show how you got your answer).
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