Let 2x+3 (x^ 2 +1)^ 2 = Ax+B x^ 2 +1 + Cx+D (x^ 2 +1)^ 2

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

Problem

Let

\frac{2x+3}{(x^{2}+1)^{2}}= \frac{Ax+B}{x^{2}+1}+\frac{Cx+D}{(x^{2}+1)^{2}}.

Find the value of

C

. (a) 0 (b) 1 (c) 3 (d) 2