Let R be a field and let f (x) E R[x] with deg(f (x)) = n > 1. Then, 6. If f (x) has roots over R, then f (x) is reducible over R. a) True b) False O a) True O b) False
Let R be a field and let f (x) E R[x] with deg(f (x)) = n > 1. Then, 6. If f (x) has roots over R, then f (x) is reducible over R. a) True b) False O a) True O b) False
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 33E: Let where is a field and let . Prove that if is irreducible over , then is irreducible over .
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