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Give an example of a polynomial of degree 4 over the field R of real numbers that is reducible over R and yet has no zeros in the real numbers

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter8: Polynomials

Section8.3: Factorization In F [x]

Problem 13E

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Give an example of a polynomial of degree 4 over the field R of real numbers that is reducible over R and yet has no zeros in the real numbers

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