Grade 10-11 · Algebra · 84 pages · PDF

Quadratic Expressions

Clear, exam-focused notes on expanding and factorising quadratic expressions, including special products, with fully worked examples.

A complete 22-page IGCSE guide to quadratic expressions. It covers expanding double brackets using the grid and FOIL methods, including brackets with coefficients. It then teaches factorising quadratics where a = 1 (with a sign guide) and where a ≠ 1 (by splitting the middle term), followed by the difference of two squares and perfect square trinomials. Later sections cover expanding three brackets, expressions with two variables, factorising by grouping, and a step-by-step strategy for “factorise completely” questions. Every method comes with worked examples and common mistakes to avoid. It ends with a summary, a factorising checklist and exam tips.

What's in the pack

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• Main Notes · 23 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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  FreeAdd for free

• 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

• What is a quadratic expression?
• Expanding double brackets (grid method)
• Expanding double brackets (FOIL)
• Expanding with coefficients
• Factorising x² + bx + c
• Factorising ax² + bx + c
• Difference of two squares
• Perfect square trinomials
• Expanding three brackets and cubes
• Expressions with two variables
• Factorising by grouping
• Factorising completely

Format

Print-ready PDF

Items

4

Delivery

By email