 The fundamental theorem of arithmetic may be generalized to this case.That is, polynomials with integer or rational coefficients have the unique factorization property.More precisely, every polynomial with rational coefficients may be factorized in a product
where is a rational number and formula_77 are non-constant polynomials with integer coefficients that are irreducible and primitive; this means that none of the formula_78 may be written as the product two polynomials (with integer coefficients) that are neither 1 nor –1 (integers are considered as polynomials of degree zero).