Bingk1
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If n \geq 3, prove that x^{2^n} + x + 1 is reducible over \mathbb{Z}_2.
Not sure how to go about this. I was thinking it might involve induction.
For n=3, we have
x^8+x+1=(x^2+x+1)(x^6+x^5+x^3+x^2+1), but I can't find any pattern to help with the induction.
Thanks in advance!
Not sure how to go about this. I was thinking it might involve induction.
For n=3, we have
x^8+x+1=(x^2+x+1)(x^6+x^5+x^3+x^2+1), but I can't find any pattern to help with the induction.
Thanks in advance!
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