Polynomial order

Let P be an irreducible polynomial of degree over a prime finite field . The order of P is the smallest positive integer n such that P(x) divides xn-1. n is also equal to the multiplicative order of any root of P. It is a divisor of pd-1. The polynomial P is a primitive polynomial if n=pd-1.

This tool allows you to enter a polynomial and compute its order. If you enter a reducible polynomial, the orders of all its non-linear factors will be computed and presented.

: over the finite field of characteristics
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