Solve the given question in 20 min plz q2 For which fields F and polynomials f E F[X]), described below, does the quotient ring F[X]/(F[X] ) consist of 64elements?O F has characteristic 2 and degree 3 over its primesubfield, f e F[X] has degree 3.cross outO F has characteristic 3 and degree 2 over its primesubfield, f e F[X] has degree 2.cross outO F has characteristic 2 and degree 3 over its primesubfield, f e F[X] has degree 2.cross outO F has characteristic 2 and degree 2 over its primesubfield, f e F[X] has degree 3.cross out

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Answered: For which fields Fand polynomials fE…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter8: Polynomials

Section8.1: Polynomials Over A Ring

Problem 16E: a. If R is a commutative ring with unity, show that the characteristic of R[ x ] is the same as the...

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