(a) Solve the following simultaneous system of congruences : x = 2(mod 4) x = 1(mod 5) x = 8(mod 11) (b) Construct an element of order four in the multiplicative group of the finite field of 17 elements.

(a) Solve the following simultaneous system of congruences : x = 2(mod 4) x = 1(mod 5) x = 8(mod 11) (b) Construct an element of order four in the multiplicative group of the finite field of 17 elements.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 54E

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Solve all

(c)
Check whether i e Q(V-2)
or not.
5.
(a)
Solve the following simultaneous system of
congruences :
x = 2(mod 4)
x = 1(mod 5)
x = 8(mod 11)
(b)
Construct an element of order four in the
multiplicative group of the finite field of 17
elements.

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