Lemmara logoLemmaraWorked solution

4MA1/2H Jun 2022, Question 11: Factorising Quadratic Expressions

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

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Factorise the quadratic x² + 5x − 24, then use that factorisation to solve the equation x² + 5x − 24 = 0.

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

Part (i) · 2 marks

Factorise x² + 5x − 24 into two brackets.

  1. 1Find two numbers that multiply to −24 and add to 5
  2. 2These numbers are −3 and 8
  3. 3(x − 3)(x + 8)

Answer(x − 3)(x + 8)

Part (ii) · 1 mark

Using your factorisation, find the solutions of x² + 5x − 24 = 0.

  1. 1Set (x − 3)(x + 8) = 0
  2. 2x − 3 = 0 or x + 8 = 0
  3. 3x = 3 or x = −8
  4. 43, −8

Answer3, −8

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

Practise more factorising quadratic expressions questions

Real 4MA1 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on factorising quadratic expressions

Also searched as: 4MA1 2H June 2022 · 4MA1/2H · 4ma1 jun22 2h · question 11.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.