AM-1124

Partial fractions

A Math · Secondary 4 · Hard · Partial fractions

The expression

\dfrac{4x^2+5x-3}{x^2(x-2)}

can be written in partial fractions as

\frac{A}{x}+\frac{B}{x^2}+\frac{C}{x-2}.

What is the value of

A

?

$A=-\dfrac{7}{4}$
$A=\dfrac{7}{4}$
$A=-\dfrac{3}{2}$
$A=\dfrac{3}{2}$

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