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4MA1/2F Nov 2021, Question 24: Factorising Quadratic Expressions

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

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The question, in short

Simplify a zero-index expression, factorise the quadratic x² − 5x − 36, then use that factorisation to solve x² − 5x − 36 = 0.

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

Part (a) · 1 mark

Simplify (3x²y)⁰.

  1. 1Anything (not zero) to the power 0 is 1
  2. 2(3x²y)⁰ = 1

Answer1

Part (bi) · 2 marks

Factorise x² − 5x − 36.

  1. 1Find two numbers that multiply to −36 and add to −5: 4 and −9
  2. 2x² − 5x − 36 = (x + 4)(x − 9)

Answer(x + 4)(x − 9)

Part (bii) · 1 mark

Using your factorisation, solve x² − 5x − 36 = 0.

  1. 1(x + 4)(x − 9) = 0, so x + 4 = 0 or x − 9 = 0
  2. 2x = −4 or x = 9

Answer−4 and 9

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

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