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4MA1/1FR Jun 2022, Question 21: Expand and Simplify

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 5 marks

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The question, in short

Expand a product of a term and a bracket, factorise a quadratic, then use that factorisation to solve the related equation.

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

Part (a) · 2 marks

Expand 3c³(c + 4).

  1. 13c³ × c = 3c⁴
  2. 23c³ × 4 = 12c³
  3. 33c⁴ + 12c³

Answer3c⁴ + 12c³

Part (bi) · 2 marks

Factorise x² + 8x − 9.

  1. 1Find two numbers that multiply to −9 and add to 8: 9 and −1
  2. 2(x + 9)(x − 1)

Answer(x + 9)(x − 1)

Part (bii) · 1 mark

Using your factorisation, solve x² + 8x − 9 = 0.

  1. 1(x + 9)(x − 1) = 0
  2. 2x + 9 = 0 → x = −9
  3. 3x − 1 = 0 → x = 1
  4. 4−9, 1

Answer−9, 1

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