Decompose 3x^ 2 -2x+4 (x+1)(x^ 2 +1) into partial fractions of the type A x+1 + Bx+C…

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

Problem

Decompose

\frac{3x^{2}-2x+4}{(x+1)(x^{2}+1)}

into partial fractions of the type

\frac{A}{x+1}+\frac{Bx+C}{x^{2}+1}.

Calculate

A,\,B

and

C