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13 Show that u is algebraic over R and type its minimal polynomial below in the form (a0,a1,a2,...,an,...) where a_i is the coeffi- cient of x^i. Note that a^n=1 since the mini- mal polynomial must be monic. Type and do not copy paste from elsewhere so your an- swer will be well-read by the system. u=√3+i

13 Show that u is algebraic over R and type its minimal polynomial below in the form (a0,a1,a2,...,an,...) where a_i is the coeffi- cient of x^i. Note that a^n=1 since the mini- mal polynomial must be monic. Type and do not copy paste from elsewhere so your an- swer will be well-read by the system. u=√3+i

Advanced Engineering Mathematics
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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13 Show that u is algebraic over R and type its minimal polynomial below in the form (a0,a1,a2,...,an,...) where a_i is the coeffi- cient of x^i. Note that a^n=1 since the mini- mal polynomial must be monic. Type and do not copy paste from elsewhere so your an- swer will be well-read by the system. Enter your answer 14 u= √3+i What is the degree of the specified element u over the field F? U= = √√3, F = Q(√3)
Transcribed Image Text:13 Show that u is algebraic over R and type its minimal polynomial below in the form (a0,a1,a2,...,an,...) where a_i is the coeffi- cient of x^i. Note that a^n=1 since the mini- mal polynomial must be monic. Type and do not copy paste from elsewhere so your an- swer will be well-read by the system. Enter your answer 14 u= √3+i What is the degree of the specified element u over the field F? U= = √√3, F = Q(√3)
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