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Let f(x) = x3 + 6 Z7[x]. Write f(x) as a product of

Chapter 17, Problem 15E

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QUESTION:

Let f(x) = x3 + 6 ? Z7[x]. Write f(x) as a product of irreducible polynomials over Z7.

Questions & Answers

QUESTION:

Let f(x) = x3 + 6 ? Z7[x]. Write f(x) as a product of irreducible polynomials over Z7.

ANSWER:

Step 1 of 3

The factor theorem states:

Let F be a field, and. Then a is zero of f(x) if and only ifis a factor of f(x).

 

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