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.


Back to 2013 Summer MA 598A Weigel

Alumni Liaison

Ph.D. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva