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Completing the Square

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Practice questions

Question 1

3 marks

Write x2−6x+1x^2 - 6x + 1x2−6x+1 in the form (x+a)2+b(x + a)^2 + b(x+a)2+b where a a\,a and b b\,b are integers.

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In the expansion (x+r)2=x2+2rx+r2(x+r)^2 = x^2 + 2rx + r^2(x+r)2=x2+2rx+r2, how is the number inside the bracket (rrr) related to the xxx coefficient?

Completing the Square Revision Guide

  1. GCSE
  2. /Maths
  3. /Completing the Square

Revision notes for AQA GCSE Maths Completing the Square. Open the guide for explanations and worked examples. Written against the AQA GCSE Maths (8300) specification, so the content matches what's examinable rather than general Maths background.

Revision guides

Practise questions

1 of 5

Rewrite x2+6x+2x^2+6x+2x2+6x+2 in completed square form.