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Cambridge AS & A Level Mathematics

3.1cPartial fractions

Partial fractions in Cambridge AS & A Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic15 practice questions1 lesson

Learning objectives

What the syllabus expects you to be able to do.

  1. 3.1.4Paper 3: express rational functions in partial fractions with denominators no more complicated than (ax + b)(cx + d)(ex + f), (ax + b)(cx + d)² and (ax + b)(cx² + d).

Lessons

  • Partial fractions

    40 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Partial fractions: sample question

1 mark

Given that 7x+4(2x−1)(x+2)≡A2x−1+Bx+2\dfrac{7x + 4}{(2x - 1)(x + 2)} \equiv \dfrac{A}{2x - 1} + \dfrac{B}{x + 2}, find the value of AA.

Complete: A = …

Only if the answer has a unit, e.g. cm or km/h.

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