(a) find the number of incongruent roots modulo 6 of the polynomial f(x)=x^2 - x (b) why does the behavior exhibited in part (a) not violate Lagrange's Theorem?
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Originally Posted by mndi1105 (a) find the number of incongruent roots modulo 6 of the polynomial f(x)=x^2 - x You have, . Thus, . Therefore, there are six solutions up to congruence. (b) why does the behavior exhibited in part (a) not violate Lagrange's Theorem? Because that theorem applies only for where is a prime.
How did you get that there were 6 incongruent roots modulo 6?
I think that was a mistake.
Originally Posted by mndi1105 How did you get that there were 6 incongruent roots modulo 6? Originally Posted by whipflip15 I think that was a mistake. Of that is is a mistake! If you look above we get four solutions if you count them, but I wrote six.
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