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4MA1/2F Jan 2020, Question 23: Solving Quadratics by Factorising

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 5 marks

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The question, in short

Solve a linear inequality and a quadratic equation, showing clear algebraic working for the quadratic.

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

Part (a) · 2 marks

Find the range of x satisfying 2x + 7 > 4.

  1. 12x + 7 > 4
  2. 22x > 4 − 7
  3. 32x > −3
  4. 4x > −1.5

Answerx > −1.5

Part (b) · 3 marks

Solve x² − 3x − 40 = 0, showing clear algebraic working.

  1. 1x² − 3x − 40 = 0
  2. 2(x − 8)(x + 5) = 0
  3. 3x − 8 = 0 or x + 5 = 0
  4. 4x = 8 or x = −5

Answer8, −5

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