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← Solving Quadratic Equations Using Factorisation

Cheatsheet · Grade 11 · 2 pages · PDF

Solving Quadratic Equations Using FactorisationCheatsheet

The whole topic on a page or two, for the night before.

A complete 28-page IGCSE guide to solving quadratic equations by factorisation. It starts with the zero product property, then teaches how to solve quadratics where a = 1 and where a ≠ 1 (by splitting the middle term). It also covers the special cases of the difference of two squares and perfect squares with repeated roots. Later sections show how to rearrange equations that aren’t set equal to zero, have terms on both sides, or need expanding first. The final section applies these skills to consecutive numbers, area, projectile and number puzzle problems, including when to reject a solution. Every method comes with step-by-step worked examples, and there’s a dedicated chapter on common mistakes. It ends with a summary checklist and exam tips.

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