This problem has been solved!

Do you need an answer to a question different from the above? Ask your question!

# 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 +

**Transcribed Image Text:**

## 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 the element a in Fr? 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 the element a in Fr? 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 the element a in Fr? 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 the element a in Fr? 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 the element a in Fr? 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 the element a in Fr? 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 the element a in Fr? 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 the element a in Fr?

## Expert Answer

Question: i. Show that f(x) = x + 2x + 1 is irreducible
View the full answer

**Related Book For**

## Discrete Mathematics and Its Applications

7th edition

Authors: Kenneth H. Rosen

ISBN: 978-0073383095

## Students also viewed these mathematics questions

- Q: 2 0 1 1 S o c i e t y f
- Q: Show that the equation 2x – 1 – sin x = 0
- Q: At a certain location, the horizontal component of the earths magnetic field