Go to content Factorising quadratic expressions is the opposite of multiplying out the brackets. For example the expression (x+1)(x+3) can be multiplied out to give x^2+4x+3. Going the other way or reversing this process is called factorising.

## Summary/Background

The ability to factorise quadratic functions is essential to making sound progress in advanced mathematics. It is a skill. You get better with practise.

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You can get a better display of the maths by downloading special TeX fonts from jsMath. In the meantime, we will do the best we can with the fonts you have, but it may not be pretty and some equations may not be rendered correctly.

## Glossary

### quadratic

A mathematical expression of the 2nd degree; having a x² term but no higher one.

### union

The union of two sets A and B is the set containing all the elements of A and B.

Full Glossary List

## This question appears in the following syllabi:

SyllabusModuleSectionTopicExam Year
AP Calculus AB (USA)1Algebra and FunctionsQuadratic factorising-
AP Calculus BC (USA)1Algebra and FunctionsQuadratic factorising-
AQA A-Level (UK - Pre-2017)C1Algebra and FunctionsQuadratic factorising-
AQA AS Maths 2017Pure MathsAlgebraFactorising Quadratics-
AQA AS/A2 Maths 2017Pure MathsAlgebraFactorising Quadratics-
CBSE IX (India)AlgebraPolynomialsFactorisation of quadratics-
CCEA A-Level (NI)C1Algebra and FunctionsQuadratic factorising-
CIE A-Level (UK)P1Algebra and FunctionsQuadratic factorising-
Edexcel A-Level (UK - Pre-2017)C1Algebra and FunctionsQuadratic factorising-
Edexcel AS Maths 2017Pure MathsQuadraticsFactorising Quadratics-
Edexcel AS/A2 Maths 2017Pure MathsQuadraticsFactorising Quadratics-
I.B. Higher Level2Algebra and FunctionsQuadratic factorising-
I.B. Standard Level2Algebra and FunctionsQuadratic factorising-
Methods (UK)M1Algebra and FunctionsQuadratic factorising-
I.B. (MSSL)2Algebra and FunctionsQuadratic factorising-
OCR A-Level (UK - Pre-2017)C1Algebra and FunctionsQuadratic factorising-
OCR AS Maths 2017Pure MathsEquations and QuadraticsFactorising Quadratics-
OCR MEI AS Maths 2017Pure MathsQuadraticsFactorising Quadratics-
OCR-MEI A-Level (UK - Pre-2017)C1Algebra and FunctionsQuadratic factorising-
Pre-U A-Level (UK)1Algebra and FunctionsQuadratic factorising-
Scottish (Highers + Advanced)HM2Algebra and FunctionsQuadratic factorising-
Scottish HighersM2Algebra and FunctionsQuadratic factorising-
Universal (all site questions)AAlgebra and FunctionsQuadratic factorising-
WJEC A-Level (Wales)C1Algebra and FunctionsQuadratic factorising-