A Class Irreducible Polynomials on Rational Number Field
Shi Zi-fu · Journal of Hunan Institute of Science and Technology · 2008
Some common results which used to decide a polynomial on rational number field irreducible are explained in this paper.Some properties of polynomial such as f(x)=φ(x)(x-a1)(x-a2)…(x-an)+1 are discussed and some theorem is obtained if n6,φ(x)0 and the degree of φ(x) is less than a half of n,then f(x) is irreducible on rational number field.