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4MA1/2F Jun 2024, Question 27: Factorising Quadratic Expressions

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 3 marks

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The question, in short

Factorise the quadratic x² + 9x − 22, then use the result to solve the equation x² + 9x − 22 = 0.

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

Part (i) · 2 marks

Factorise x² + 9x − 22 into two brackets.

  1. 1Find two numbers that multiply to −22 and add to 9
  2. 2These numbers are −2 and 11
  3. 3(x − 2)(x + 11)

Answer(x − 2)(x + 11)

Part (ii) · 1 mark

Using your factorisation, solve x² + 9x − 22 = 0 for x.

  1. 1Set each factor equal to zero: x − 2 = 0 or x + 11 = 0
  2. 2Solve: x = 2 or x = −11
  3. 32, −11

Answer2, −11

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