Why completing the square is more reliable than factorising quadratics
In short: While many students rely on factorising to solve quadratic equations, that method has its limits. This video explains a universal algebraic technique that works for every quadratic expression, regardless of how complex it may be.
Completing the square is a versatile method for solving quadratics because, unlike factorising, it is guaranteed to work on any quadratic equation. Beyond finding solutions, the process is essential for graphing; it reveals the specific coordinates of the turning point—the maximum or minimum of the curve.
The video demonstrates the step-by-step process of completing the square, making it a valuable tool for both initial learning and revision in various classroom models.
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Sources
- Summary by Intellect · source: Completing The Square - Quadratics | Algebra | Maths | FuseSchool
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