5.9Determine the gcd of the following pairs of polynomials.a. x³ + x + 1 and x? + x +1 over GF(2)b. x³ – x +1 and x? +1 over GF(3)c. x + x4 + x³ – x² – x+1 and x³ +x² + x + 1 over GF(3)d. x + 88x4 + 73x³ + 83x² + 51x + 67 and x³ + 97x² +40x + 38 over GF(101)

As per the policy of bartleby the provisions is to solve only 3 sub parts I am solving first 3 part…

Answered: Determine the gcd of the following…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Determine the gcd of the following pairs of polynomials. a. x* + x +1 and x? + x +1 over GF(2) b. x³ – a +1 and x? +1 over GF(3) c. x° +x* + x³ – x? – x +1 and a + x? +x +1 over GF(3) -