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Degenerate polynomial forms

✍ Scribed by Barrett, K. E.

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 69 KB
Volume: 15
Category: Article
ISSN: 1069-8299
DOI: 10.1002/(sici)1099-0887(199905)15:5<305::aid-cnm243>3.0.co;2-#

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✦ Synopsis

It is well known that the condition under which a quadratic in two variables reduces to a product of two linear factors is that the determinant of the associated quadratic form should be zero. This result is generalized to the case of a polynomial of degree n. For the degree n case there are 1 2 n À 1n constraints for the polynomial to be reducible. A recursive algorithm is presented for determining them.

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