The Math Meridian
Back to Complex Numbers, Counting and Proof

Partial fractions

Questions at easy, medium and hard levels. Pick a level and get a fresh set every time, with instant feedback.

Useful for: IB Math AA HL

Learn it Split (px + q)/[(x − a)(x − b)] into A/(x − a) + B/(x − b). Multiply through by the denominator, then substitute x = a and x = b to find A and B quickly.

Example: Split (5x − 1)/[(x − 1)(x + 2)].

  1. 5x − 1 = A(x + 2) + B(x − 1).
  2. x = 1: 4 = 3A → A = 4/3. x = −2: −11 = −3B → B = 11/3.

Loading questions…