Determine the constants

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Determine the constants AA, BB and CC such that 5x+1x(x+1)(x−2)=Ax+Bx+1+Cx−2.\frac{5x+1}{x(x+1)(x-2)}=\frac{A}{x}+\frac{B}{x+1}+\frac{C}{x-2}.

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