Which of the following is the correct partial–fraction form of the proper rational…

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

Problem

Which of the following is the correct partial–fraction form of the proper rational function

\dfrac{3x+2}{x^{2}+4x+5}

? (a)

\dfrac{A}{x^{2}+4x+5}

(b)

\dfrac{A}{x+1}+\dfrac{B}{x+4}

(c)

\dfrac{Ax+B}{x^{2}+4x+5}

(d)

\dfrac{A}{x+2}+\dfrac{B}{(x+2)^{2}+1}