For p a prime, let be irreducible of degree n in Zp[x]. (a) How many elements are

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For p a prime, let be irreducible of degree n in Zp[x].
(a) How many elements are there in the field Zp [x]/(s(x))?
(b) How many elements in Zp[x]/(s(x)) generate the multiplicative group of nonzero elements of this field?
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