A-level · Algebra & functions

Partial fractionsExam-style questions

Splitting one fraction into a sum of simpler ones. Partial fractions as adding fractions run backwards, and why the pieces are worth having; distinct linear factors, found by substituting the values that make brackets vanish; factorising the denominator first, including factors like (2x + 1); the extra piece a repeated factor needs, and equating coefficients for it; and dividing out a top-heavy fraction first.

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26 questions · A-level level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 2 Level 3 Level 4 Level 5

1
Express $\dfrac{9x + 17}{(2x + 1)(x + 3)}$ in partial fractions.

(3 marks)
Level 2 · 3 marksTry it