d)x²-3x-4 =0 has no solution in Z7 4) Let I) 2x-10 in Z[x] II) 2x-10in Ox] III) 2x-10 in Z₁₂[x] One of the following is TRUE : a) I & II & III are irreducibles b) Only I & II are irreducibles c) Only I & III are irreducibles d) Only II is irreducible 5) All non-zero divisors in Z[i] are
d)x²-3x-4 =0 has no solution in Z7 4) Let I) 2x-10 in Z[x] II) 2x-10in Ox] III) 2x-10 in Z₁₂[x] One of the following is TRUE : a) I & II & III are irreducibles b) Only I & II are irreducibles c) Only I & III are irreducibles d) Only II is irreducible 5) All non-zero divisors in Z[i] are
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.4: Maximal Ideals (optional)
Problem 5E
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