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4024/11 Oct/Nov 2025, Question 25: Factorising cubic expressions

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 3 marks

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The question, in short

Factorise 6x³ + 5x² − 4x completely.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Solution · 3 marks

  1. 16x³ + 5x² − 4x = x(6x² + 5x − 4)
  2. 26x² + 5x − 4 = (2x − 1)(3x + 4)
  3. 3= x(2x − 1)(3x + 4)

Answerx(2x − 1)(3x + 4)

Stuck on a step? Read the free lesson: Factorising Quadratic Expressions

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