4MA1/2H Jun 2023, Question 19: The Quadratic Formula and Completing the Square
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 3 marks
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The question, in short
Rewrite 3x² − 6x + 5 in the completed-square form a(x − b)² + c, stating the values of a, b and c.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 3 marks
- 13x² − 6x + 5
- 23(x² − 2x) + 5
- 33(x² − 2x + 1 − 1) + 5
- 43((x − 1)² − 1) + 5
- 53(x − 1)² − 3 + 5
- 63(x − 1)² + 2
Answer3(x − 1)² + 2
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