Consider the proper rational function

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

\dfrac{P(x)}{(x^{2}+1)^{3}(x-2)}

, where

\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,\dots

) will appear in the numerators? (a)

8

(b)

7

(c)

6

(d)

9