AM-158

Partial fractions

A Math · Secondary 3 · Hard · Partial fractions

Express

\dfrac{3x^2+5x+2}{x(x+1)}

as the sum of an integer and two partial fractions.

$3+\dfrac{2}{x}$
$3+\dfrac{2}{x+1}$
$3+\dfrac{1}{x}+\dfrac{1}{x+1}$
$3+\dfrac{2}{x}-\dfrac{2}{x+1}$

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