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4MA1/2HR Jun 2023, Question 1: Substitution

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 4 marks

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The question, in short

Substitute m = −5 and c = 3 into P = m² − 4c to find P, then expand and simplify (x + 5)(x − 7).

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Part (a) · 2 marks

Work out P using P = m² − 4c with m = −5 and c = 3.

  1. 1(−5)² = 25
  2. 24 × 3 = 12
  3. 325 − 12 = 13

Answer13

Part (b) · 2 marks

Expand and simplify the product (x + 5)(x − 7).

  1. 1x × x = x²
  2. 2x × (−7) = −7x
  3. 35 × x = 5x
  4. 45 × (−7) = −35
  5. 5−7x + 5x = −2x
  6. 6x² − 2x − 35

Answerx² − 2x − 35

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