Is X^2+X+1 a factor of X^3+X+1 in Z/3Z?
I was thinking since X=1 make X^2+X+1=0 and also X^3+X+1, can we say that there exists a P(X) that X^3+X+1 = (X^2+X+1) p(X)
Thanks
PNT wrote:No it is not, try long division.
PNT wrote:in that case use the euclidean algorithm and you get x+2
mhyyh wrote:PNT wrote:in that case use the euclidean algorithm and you get x+2
and 1....
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