ZAIN IQ lI. A docs.google.com الاسئلة .الاجابة على جميع 1. The roots of the polynomial x5- 5x3+4x over a ring of integers Z[x] are Your answer 2. Let Z[x] = {anxn + ...+ a1x + a0: ai in Z} %3D be a ring, where Z is a set of integers and let J = x Z[x] = {anxn + ..+ a1x : ai in %3D Z}. Is J an ideal --? And why -- Your answer 3. If x2 + 5x+6 = 0 (mod 12) then the zero divisors are

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.2: Integral Domains And Fields
Problem 4E: [Type here] Examples 5 and 6 of Section 5.1 showed that is a commutative ring with unity. In...
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ZAIN IQ lI.
A docs.google.com
الاسئلة
الاجابة على جميع
1. The roots of the polynomial x5-
5x3+4x over a ring of integers Z[x] are
Your answer
2. Let Z[x] = {anxn + ..+ a1x + aO : ai in Z}
be a ring, where Z is a set of integers
and let J = x Z[x]
{anxn + ...+ a1x: ai in
%3D
Z}. Is J an ideal
--? And why --
Your answer
3. If x2 + 5x+6 = 0 (mod 12) then the
zero divisors are
Transcribed Image Text:ZAIN IQ lI. A docs.google.com الاسئلة الاجابة على جميع 1. The roots of the polynomial x5- 5x3+4x over a ring of integers Z[x] are Your answer 2. Let Z[x] = {anxn + ..+ a1x + aO : ai in Z} be a ring, where Z is a set of integers and let J = x Z[x] {anxn + ...+ a1x: ai in %3D Z}. Is J an ideal --? And why -- Your answer 3. If x2 + 5x+6 = 0 (mod 12) then the zero divisors are
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