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GCD of Two Polynomials

I need to find the gcd of two polynomials in

\mathbb{Z}_{11}[x]

. Wolfram Alpha says the answer is 1, but I get a different answer. Can anyone spot any mistakes in my working?

I hope it's clear what I've done, but tbh I'm not sure if this is how I am supposed to set the working out because we haven't really done a proper example like this. I have to give a presentation on this question as well. :frown:

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Reply 1

ghostwalker

Original post by rayquaza17

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Can't see anything wrong with your working. Did a check of dividing each number by x+3, and it comes out in both cases.

Don't know why Wolfram says the gcd is 1 - I get that as well when I put it into Wolfram.