I am going to ask a question this time. I have been trying to study some

abstract algebra, and I must admit it is some wacky stuff.

I respect NCA, PH, and others who excel at it.

Here is the question:

**Show that {0,1,x,x^2} forms a field where 0 is the identity for addition and 1 is the multiplicative identity, and where 1+1=0,** **x^2=x+1.**
Huh?. 1+1=0?. That is completely counter-intuitive. Should I try to construct a group table showing a+b=? and ab=?.

What is a good way to tackle something like this?. I want to get a handle on the basics before I try anything more advanced, that's for sure

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