Let fG) = x2+I E Z, x] and let R= Z, [x]/I, where I= (f (x)) @ Show that R is a field with 9 elements.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.FOM: Focus On Modeling: Vectors Fields
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Let f(a) = x2+I € ZW and let R = Z, K]/I, where I> (fG)
%3D
Show that R is a field with 9 elements.
Transcribed Image Text:Let f(a) = x2+I € ZW and let R = Z, K]/I, where I> (fG) %3D Show that R is a field with 9 elements.
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