Grade 11 · Algebra · 90 pages · PDF

Solving Quadratic Equations Using Factorisation

Clear, exam-focused notes on solving quadratic equations by factorising, from simple quadratics to word problems, with fully worked examples.

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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• Main Notes · 29 pages

  Main Notes

  The full notes: one idea per page, a worked example beside every rule.

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• Cheatsheet · 2 pages

  Cheatsheet

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

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• Worksheet · 31 pages

  Worksheet

  Practice questions in the order the notes teach them.

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• Solutions · 28 pages

  Solutions

  Every worksheet question worked in full.

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Topics covered

• Quadratic equations and standard form
• The zero product property
• Solving when a = 1
• Sign guide for factorising
• Solving when a ≠ 1 (splitting the middle term)
• Taking out common factors first
• Difference of two squares equations
• Perfect squares and repeated roots
• Rearranging equations before solving
• Equations that need expanding first
• Word problems leading to quadratics
• Rejecting invalid solutions in context

Format

Print-ready PDF

Items

4

Delivery

By email