journal6 ›› 2000, Vol. 21 ›› Issue (1): 22-24.

• Mathematics • Previous Articles     Next Articles

On the Degrees of Irreducible Factors of Composite Polynomials


  1. ( 1.Zhanjiang Normal College, Zhanjiang 524048, Guangdong China;2.Maoming Educational College, Maoming 525000, Guangdong China)
  • Online:2000-03-15 Published:2013-01-16

Abstract: Let F be a number field. Let g ( x ) and h( x ) be polynomials over F with the degrees m and n respectively. In this paper we prove that if g(x) is irreducible over F, then the degrees of irreducible factors of the composite olynomial g (h(x) ) over F do not less than m.

Key words: composite polynomial, irreducible factor, degree, lower bound

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