AM-1024

Partial fractions

A Math · Secondary 4 · Hard · Partial fractions

A function is given by

f(x) = \dfrac{5x-2}{x(x-3)}

. Express

f(x)

in partial fractions of the form

\dfrac{A}{x} + \dfrac{B}{x-3}

.

$\dfrac{2}{3x} + \dfrac{13}{3(x-3)}$
$\dfrac{13}{3x} + \dfrac{2}{3(x-3)}$
$\dfrac{5}{x} - \dfrac{2}{x-3}$
$\dfrac{2}{x} + \dfrac{5}{x-3}$

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