Let Z[X] be the ring of polynomials with integer coefficients and let a be thecollection of all polynomials whose constant term is even.a. a is an ideal.b. a is a maximal ideal.

Sol:- a) To show that a is an ideal, we need to show that it satisfies the two conditions for an…

Answered: Let Z[X] be the ring of polynomials…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter8: Polynomials

Section8.4: Zeros Of A Polynomial

Problem 19E

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Let Z[X] be the ring of polynomials with integer coefficients and let å be the collection of all polynomials whose constant term is even. a. a is an ideal. b. a is a maximal ideal.