Let    f(x) = x3 + x + 1    be an irreducible polynomial in Z5[x] Let A be a root of f(x) in an extension of Z5. What is the cardinality of F = Z5 (A) ? In other words, what is [ Z5 (A) : Z5 ] ? Then find the minimal polynomial of    1/A    and   A2 + 1

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A: We have find radical form of Now, Thus,

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A: To find:  The incongruent quadratic residues and quadratic nonresidues modulo N.

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A: From the given equation:

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Q: Q1: Using Lagrange multipliers method find the extreme point of the following function min f = x₁ +…

A: min subjected to

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Q: GIVEN THE 3 (1.2) BoC, (1.3) B+C + 3(A+B) A= 3 5430 2445° 2+j 3² 1-j3 3460° 2 :) fi C= 2 4 5 J -2…

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