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A-LevelMathematicsAlgebra9709/12 · Feb/Mar 2019 · Q13 Marks

The coefficient of x³ in the expansion of (1 – px)⁵ is –2160. Find the value of the constant p.

  1. The coefficient of x³ in the expansion of (1 – px)⁵ is –2160. Find the value of the constant p.[3]

Mark scheme

Marking points from the official mark scheme (Feb/Mar 2019). The mark or mark type is shown in brackets.

  1. [B1] 5C3[(-)(px)²] soi
  2. [M1] (-1)10p³ = -2160 then ÷ and cube root
  3. [A1] p=6

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About this question

Topic
Algebra, A-Level Mathematics (syllabus 9709). Structured question, 3 marks.
Source
A-Level Mathematics, Feb/Mar 2019 Paper 1 Variant 2, question 1.

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