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## Homework Statement

show that the polynomial (x-a1)(x-a2)....(x-an)+1 is irreducible in Z[x],where a1,a2,...an are distinct odd integers

## Homework Equations

## The Attempt at a Solution

trying to use eisenstein criterion...but cant
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- Thread starter sayan2009
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show that the polynomial (x-a1)(x-a2)....(x-an)+1 is irreducible in Z[x],where a1,a2,...an are distinct odd integers

Last edited:

- #2

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That statement isn't true.

- #3

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give anr coutrexmple

- #4

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give anr coutrexmple

[tex](x-1)(x-3)+1=x^2-4x+4=(x-2)^2[/tex]

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