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| − | + | =Student solutions for Assignment #6= | |
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| + | == Problem 3 == | ||
| + | Let <math>k</math> be a field of characteristic zero. Assume that every polynomial in <math>k[X]</math> of odd degree and every polynomial in <math>k[X]</math> of degree two has a root in <math>k</math>. Show that <math>k</math> is algebraically closed. | ||
| − | + | * [[Media:2013_Summer_MA_598A_ps6_3.pdf|Solution by Avi Steiner]] | |
| + | [[2013 Summer MA 598A Weigel|Back to 2013 Summer MA 598A Weigel]] | ||
| − | + | [[Category:MA598ASummer2013Weigel]] [[Category:Math]] [[Category:MA598]] [[Category:Problem_solving]] [[Category:Algebra]] | |
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Latest revision as of 07:11, 4 July 2013
Student solutions for Assignment #6
Problem 3
Let $ k $ be a field of characteristic zero. Assume that every polynomial in $ k[X] $ of odd degree and every polynomial in $ k[X] $ of degree two has a root in $ k $. Show that $ k $ is algebraically closed.
