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Mathematik-Online problems:

Problem 139: Expansion into Partial Fractions

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Find the real expansion into partial fractions for each of the following functions $ f$:

a) $ f(x) = {\displaystyle{\frac{6x^2-14x-2}{x^3+x^2-10x+8}}}$ b) $ f(x) = {\displaystyle{\frac{x^3+x^2+10x-3}{x^4-x^3-3x^2+5x-2}}}$  
c) $ f(x) = {\displaystyle{\frac{5x^2-3x+12}{x^3-2x^2+x-12}}}$ d) $ f(x) = {\displaystyle{\frac{3x^4+5x^2+10x+10}{(x-2)(x^2+x+1)^2}}}$  


(Author: Höfert)

see also:

[Solutions]
  automatisch erstellt am 24. 11. 2004