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A-LevelMathematicsSeries9709/12 · May/June 2015 · Q35 Marks

Find the coefficients of x² and x³ in the expansion of (2 – x)⁶.

  1. (i)Find the coefficients of x² and x³ in the expansion of (2 – x)⁶.[3]
  2. (ii)Find the coefficient of x³ in the expansion of (3x + 1)(2 – x)⁶.[2]

Mark scheme

Marking points from the official mark scheme (May/June 2015). The mark or mark type is shown in brackets.

  1. [B1] (i) Coeff of x² is 240 co
  2. [B2,1] (i) Coeff of x³ is - 20 × 8 = -160 B1 for +160
  3. [M1] (ii) Product needs exactly 2 terms 3 × their 240 + their -160
  4. [A1] (ii) → 720 - 160 = 560 √ for candidate's answers.

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About this question

Topic
Series, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source
A-Level Mathematics, May/June 2015 Paper 1 Variant 2, question 3.

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