Editing Algebraically closed field (section)

===Polynomials of prime degree have roots===
If every polynomial over ''F'' of prime degree has a root in ''F'', then every non-constant polynomial has a root in ''F''.<ref>Shipman, J. [http://www.jon-arny.com/httpdocs/Gauss/Shipman%20Intellig%20Mod%20p%20FTA.pdf Improving the Fundamental Theorem of Algebra]  ''The Mathematical Intelligencer'', Volume 29 (2007), Number 4. pp. 9–14</ref> It follows that a field is algebraically closed if and only if every polynomial over ''F'' of prime degree has a root in ''F''.