If , then…

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

Problem

\displaystyle \frac{4x+7}{x(x+1)(x+3)}=\frac{A}{x}+\frac{B}{x+1}+\frac{C}{x+3}

, then

B

equals (a)

\dfrac{3}{2}

(b)

-\dfrac{3}{2}

(c)

-\dfrac{5}{2}

(d) \dfrac{11}{4}