AM-1121

Partial fractions

A Math · Secondary 4 · Hard · Partial fractions

Express

\dfrac{4x^2+5x-1}{x^2(x-2)}

as the sum of three partial fractions of the form

\dfrac{A}{x}+\dfrac{B}{x^2}+\dfrac{C}{x-2}

. What is the value of

A

?

$-\dfrac{9}{4}$
$\dfrac{9}{4}$
$-\dfrac{5}{2}$
$\dfrac{5}{2}$

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