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The key idea

The key idea

When the coefficient of x2x^2x2 is 1, you can often factorise by inspection. When it is not 1, as in 2x2+7x+32x^2 + 7x + 32x2+7x+3, splitting the middle term is the reliable method.

Factorising Harder Quadratics Lesson

  1. GCSE
  2. /Maths
  3. /Factorising Harder Quadratics

Step-by-step lessons covering AQA GCSE Maths Factorising Harder Quadratics for Foundation and Higher tier. Each lesson works through exam-style questions in Paper 1, Paper 2 and Paper 3 format. Build fluency with number, ratio and algebra first, since geometry, probability and statistics topics rely on them, and leave extra time nearer the exam for Higher-tier problem-solving and multi-step reasoning questions.

Lessons

SurdsBoundsDirect and Inverse ProportionQuadratic FormulaFactorising Harder QuadraticsAlgebraic FractionsRearranging Harder FormulaeInverse and Composite FunctionsIterationFinding the Area of Any TriangleThe Sine RuleThe Cosine RuleCongruent Triangles3d Pythagoras and TrigonometryHistogramsConditional Probability