Imagine now that we separate the function F(x) into two factors where the first, instead of being linear, corresponds to several roots of the equation F(x) = 0. For example, take for the first factor the factor of second degree.
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Bradley, R.E., Sandifer, C.E. (2009). Decomposition of rational fractions.. In: Cauchy’s Cours d’analyse. Sources and Studies in the History of Mathematics and Physical Sciences. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-0549-9_11
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