AM-473

Partial fractions

A Math · Secondary 3 · Hard · Partial fractions

Given that

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

, express

f(x)

in partial fractions of the form

f(x)=A+\frac{B}{x}+\frac{C}{x-2}.

What is the value of

B

?

$-2$
$2$
$-3$
$3$

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