i Show that f(x) x' 2x 1 is irreducible in Z3r ii Using a formal root a of f(x) from part (i), describe the finite field Fr 4 marks) 3 marks iii Find (a 2) 1 in F27 Exprkss your answer in the form of part ii 7 marks 6 marks 6 marks iv Solve the equation oX 20 X for X in F7 v What is the order of t...

Question i Show that fx x 2x 1 is irreducible in Z3x Remark For any field F we have let fx E Fx ha ...

i. Show that f(x) = x' + 2x +1 is irreducible in Z3r]. ii. Using a...

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Discrete Mathematics and Its Applications

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i. Show that f(x) = x' + 2x +1 is irreducible in Z3r]. ii. Using a...

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