Consider the polynomial p(x) = x³ + x + 1 over Z2. Denote bya = x+ < p(x) >. Then a3 + a + 1 is a root for p(x) in Z2 [x]/< p(x) >.TrueFalse

Using the property of ideal and ring

Answered: Consider the polynomial p(x) = x³ + x +…

Consider the polynomial p(x) = x³ + x + 1 over Z₂. Denote by a = x+. Then a³ + a + 1 is a root for p(x) in Z₂ [x]/. O True O False

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.2: Polynomial Functinos And Their Graphs

Problem 3E: If c is a zero of polynomial P. then (a) P(c) = __________. (b) xc is a__________of P(x). (c) c is...

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Consider the polynomial p(x) = x³ + x + 1 over Z2. Denote by
a = x+ < p(x) >. Then a3 + a + 1 is a root for p(x) in Z2 [x]/< p(x) >.
True
False

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