Course Solutions Uncategorized (Solved) : 5 4 Points Construct Field 9 Elements B Let P Prime Number Determine Thenumber Polynomials Q33201294 . . . .

(Solved) : 5 4 Points Construct Field 9 Elements B Let P Prime Number Determine Thenumber Polynomials Q33201294 . . . .

 

5. (4 points) (a) Construct a field with 9 elements (b) Let p be a prime number. Determine thenumber of polynomials of the form 2+a+b which are irreducible over Zp (c) Show that for p prime there exists a field with p elements.5. (4 points) (a) Construct a field with 9 elements (b) Let p be a prime number. Determine thenumber of polynomials of the form 2+a+b which are irreducible over Zp (c) Show that for p prime there exists a field with p elements. Show transcribed image text

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