Which partial-fraction decomposition of is correct?

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

Problem

Which partial-fraction decomposition of

\displaystyle \frac{3x+5}{(x-1)(x+2)}

is correct? (a)

\dfrac{8}{x-1}+\dfrac{1}{x+2}

(b)

\dfrac{8}{3(x+2)}+\dfrac{1}{3(x-1)}

(c)

\dfrac{8}{3(x-1)}-\dfrac{1}{3(x+2)}

(d)

\dfrac{8}{3(x-1)}+\dfrac{1}{3(x+2)}