Partial Fractions Decomposition

00:00 5 marks

Express $\frac{5x-1}{(x-1)(x+2)}$ in partial fractions. [5]

Hint Hint

Hint

Set up the equation $\frac{5x-1}{(x-1)(x+2)} = \frac{A}{x-1} + \frac{B}{x+2}$ and solve for A and B by substituting convenient values for x (for example, x = 1 and x = -2).

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Answer Answer

Complete Answer

The partial fractions decomposition is $\frac{4}{3(x-1)} + \frac{11}{3(x+2)}$.

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