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O-LevelAdditional MathematicsFactors of polynomials4037/11 · May/June 2025 · Q79 Marks

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  1. Find the x-coordinates of the points where the curve y = (2x−9)(x²+5) +42 cuts the x-axis.[9]

Mark scheme

Marking points from the official mark scheme (May/June 2025). The mark or mark type is shown in brackets.

  1. [B1] 2x³-9x²+10x-3[=0]
  2. [M1] Finds a correct linear factor x-1 or x-3 or 2x-1
  3. [2] M1 for a corresponding quadratic factor with 2 terms correct
  4. [M1] Factorises their 3-term quadratic factor or solves their 3-term quadratic equation
  5. [A1] x = 1, 3
  6. [A1] x = 1/2

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About this question

Topic
Factors of polynomials, O-Level Additional Mathematics (syllabus 4037). Structured question, 9 marks.
Source
O-Level Additional Mathematics, May/June 2025 Paper 1 Variant 1, question 7.

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