Problem 4: Determine the splitting field of the polynomial(x2 – 2)(x² – 3)(x² – 4)over Q. Find its degree over Q. Verify if all points of the splitting field are constructible.

Given,Polynomial : x2-2x2-3x2-4To find: 1) Splitting field of given polynomial 2)…

Answered: Problem 4: Determine the splitting…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.2: Determinants

Problem 16AEXP

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Problem 4: Determine the splitting field of the polynomial (r² – 2)(x² – 3)(r² – 4) over Q. Find its degree over Q. Verify if all points of the splitting field are constructible.