Does somebody know the proof of partial fraction decomposition theorem for rational functions over field of real numbers that does not use properties of field of complex numbers?
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Does this help? – kingW3 Feb 26 '17 at 21:17
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little... using Euclidean algorithm and Bézout's identity for polynomials in order to (rigorously) proof general case makes a lot of mess... – someone Feb 26 '17 at 22:30
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if somebody can write (or give a link to) a detailed proof would be satisfactory – someone Feb 26 '17 at 23:02
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If you know linear algebra, this answer may help. – Oct 16 '18 at 17:35