can someone help with this math problem, please?!?

Let Fp = Z/pZ be the field of p elements, where p is an odd prime. Label the

elements of Fp as 0,1,2, . . . , p−1 modulo p. Prove Wilson’s Theorem:

(p−1)! ≡ −1 (mod p)

as follows: observe that, by Fermat’s Theorem, the polynomial

f(x) = x^(p−1)− 1

in Fp[x] has 1,2, . . . , p − 1 as roots. Apply the Root Theorem to get a complete

factorization of

x^(p−1)−1 into linear factors, and then compare the constant term of

the product of the factors with the constant term of f(x).