Lemmara logoLemmaraWorked solution

4MA1/2HR Jun 2019, Question 22: The Quadratic Formula and Completing the Square

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

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Express the quadratic 5 + 12x − 2x² in completed-square form a + b(x + c)², with a, b and c as integers.

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

Solution · 4 marks

  1. 1−2(x² − 6x) + 5
  2. 2−2[(x − 3)² − 9] + 5
  3. 3−2(x − 3)² + 18 + 5
  4. 423 − 2(x − 3)²

Answer23 − 2(x − 3)²

Stuck on a step? Read the free lesson: The Quadratic Formula and Completing the Square

Practise more the quadratic formula and completing the square 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 the quadratic formula and completing the square

Also searched as: 4MA1 2HR June 2019 · 4MA1/2HR · 4ma1 jun19 2hr · question 22.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.