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factorization

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Repeating this process for the factors found, one finally arrives at an approximative factorization of the polynomial at a required precision. en.wikipedia.org

This is made possible by a careful analysis of the prime factorization of central binomial coefficients. en.wikipedia.org

Since this is a quadratic irrational, the continued fraction must be periodic (unless "n" is square, in which case the factorization is obvious). en.wikipedia.org

The best known problem in the field is integer factorization. en.wikipedia.org

Square-free factorization is therefore the first step in most polynomial factorization algorithms. en.wikipedia.org

First, using square-free factorization, we may suppose that the polynomial is square-free. en.wikipedia.org

To prove sufficiency we may use the factorization theorem. en.wikipedia.org

The equation can be solved by taking fourier transform, but not practically realizable since infinite spectrum needs spatial factorization. en.wikipedia.org

Cash prizes of varying size were offered for factorization of some of them. en.wikipedia.org

Factorization is widely believed to be a computationally hard problem. en.wikipedia.org

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