For the proper rational function

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

For the proper rational function P(x)(x−1)(x+2)2(x2+4)\displaystyle \frac{P(x)}{(x-1)(x+2)^{2}(x^{2}+4)}, how many distinct constants will appear in its partial-fraction decomposition? (a) 6 (b) 5 (c) 7 (d) 4

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