AM-1202

Partial fractions

A Math · Secondary 4 · Medium · 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}

. What is the value of

A

?

$\dfrac{2}{3}$
$\dfrac{3}{2}$
$\dfrac{5}{3}$
$\dfrac{1}{3}$

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