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1 markPaper 1 · Multiple choiceAlgebraic Operations

CAPE Pure Mathematics Unit 1 · May/June 2010 · Paper 1 · Question Q7

The rational expression \frac{x}{x^2 + 3x - 4} + \frac{2}{x - 1} simplified as a single fraction is

  1. (A)\frac{3x + 8}{x^2 + 3x - 4}
  2. (B)\frac{3x - 8}{x^2 + 3x - 4}
  3. (C)\frac{3x^2 + 5x + 8}{(x - 1)(x^2 + 3x - 4)}
  4. (D)\frac{3x^2 - 5x + 8}{(x - 1)(x^2 + 3x - 4)}

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