Scriu exact citatul din cartea din care l-am gasit (Polynomials de E.J.Barbeaux, pag 277 exercitiul 2.33):
"However, if the leading coefficient of the polynomial is not divisible by m, then the irreductibility over

implies irreductibility over

. (Any factorization over

would yield a factorization over

involving polynomials of the same degree.)"

[Citat] Scriu exact citatul din cartea din care l-am gasit (Polynomials de E.J.Barbeaux, pag 277 exercitiul 2.33): "However, if the leading coefficient of the polynomial is not divisible by m, then the irreductibility over implies irreductibility over . (Any factorization over would yield a factorization over involving polynomials of the same degree.)"

P.S. Enuntul problemei este: "It is true in general that if a polynomial with integer coefficients is irreductible over

for some m,it must be irreductible over

?" , iar raspunsul este Nu (se da un exemplu) si apoi urmeaza citatul de mai sus.