Mathematics

Mathematics

Problem

Consider the proper rational function P(x)(x2+1)3(x−2)\dfrac{P(x)}{(x^{2}+1)^{3}(x-2)}, where deg⁡P(x)<7\deg P(x)<7. When the function is expressed as a sum of simpler fractions, how many distinct constant coefficients (symbols such as A,B,…A,B,\dots) will appear in the numerators? a) 88 b) 77 c) 66 d) 99

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