Partial Fraction Decomposition

00:00 3 marks

Express the rational function $f(x) = \frac{3x+5}{(x-2)(x+1)}$ in the form of its partial fractions.

Hint Hint

Hint

Set up the partial fraction decomposition as $\frac{A}{x-2} + \frac{B}{x+1}$ and solve for the constants A and B by equating coefficients.

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Answer Answer

Complete Answer

$f(x) = \frac{11}{3(x-2)} – \frac{2}{3(x+1)}$

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