For , the rational function can be written in the form . In terms of , what is…

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

Problem

For

k\in\mathbb{R}

, the rational function

\dfrac{2x+k}{(x-5)(x+1)}

can be written in the form

\dfrac{A}{x-5}+\dfrac{B}{x+1}

. In terms of

k

, what is

B

? (a)

-\dfrac{k+2}{4}

(b)

\dfrac{k+10}{6}

(c)

\dfrac{2-k}{6}

(d)

\dfrac{k-2}{6}