Let F3 = Z/3Z denote the field with 3 elements. Let f(x) = x³ + x² + x +2. (a) Prove that F3 [x]/(f(x)) is a field. (b)
Posted: Mon Jul 11, 2022 12:01 pm
- Let F3 Z 3z Denote The Field With 3 Elements Let F X X X X 2 A Prove That F3 X F X Is A Field B 1 (44.85 KiB) Viewed 33 times
Let F3 = Z/3Z denote the field with 3 elements. Let f(x) = x³ + x² + x +2. (a) Prove that F3 [x]/(f(x)) is a field. (b) For which c € F3 does the equation y² - c = 0 have a solution in F3 [x]/(f(x)).