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Published in:
1996 | OriginalPaper | Chapter
5 Factorization of polynomials
Author : Dipl.-Ing. Dr. Franz Winkler
Published in: Polynomial Algorithms in Computer Algebra
Publisher: Springer Vienna
Included in: Professional Book Archive
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Similar to what we have done for the computation of gcds of polynomials, we will reduce the computation of the factors of an integral polynomial to the computation of the factors of the polynomial modulo a prime number. So we have to investigate this problem first, i.e., we consider the problem of factoring a polynomial a(x) ∈ ℤp[x], p a prime number. W.l.o.g. we may assume that lc(a) = 1.