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.
Step-by-step lessons on CCEA GCSE Maths Factorising Harder Quadratics. Each one builds up to exam-style questions. 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.