A-level Maths · Algebra and functions

Completing the square

Write a quadratic as (x + p)² + q, or as a(x + p)² + q when x² has a coefficient.

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Question 1

Write x2+2x+12x^{2} + 2x + 12 in the form (x+p)2+q(x + p)^{2} + q, where p and q are constants. Find the values of p and q.

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