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.

## Software/Applets used on this page

## 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.

## This question appears in the following syllabi:

Syllabus | Module | Section | Topic | Exam Year |
---|---|---|---|---|

AP Calculus AB (USA) | 1 | Algebra and Functions | Quadratic factorising | - |

AP Calculus BC (USA) | 1 | Algebra and Functions | Quadratic factorising | - |

AQA A-Level (UK - Pre-2017) | C1 | Algebra and Functions | Quadratic factorising | - |

AQA AS Maths 2017 | Pure Maths | Algebra | Factorising Quadratics | - |

AQA AS/A2 Maths 2017 | Pure Maths | Algebra | Factorising Quadratics | - |

CBSE IX (India) | Algebra | Polynomials | Factorisation of quadratics | - |

CCEA A-Level (NI) | C1 | Algebra and Functions | Quadratic factorising | - |

CIE A-Level (UK) | P1 | Algebra and Functions | Quadratic factorising | - |

Edexcel A-Level (UK - Pre-2017) | C1 | Algebra and Functions | Quadratic factorising | - |

Edexcel AS Maths 2017 | Pure Maths | Quadratics | Factorising Quadratics | - |

Edexcel AS/A2 Maths 2017 | Pure Maths | Quadratics | Factorising Quadratics | - |

I.B. Higher Level | 2 | Algebra and Functions | Quadratic factorising | - |

I.B. Standard Level | 2 | Algebra and Functions | Quadratic factorising | - |

Methods (UK) | M1 | Algebra and Functions | Quadratic factorising | - |

I.B. (MSSL) | 2 | Algebra and Functions | Quadratic factorising | - |

OCR A-Level (UK - Pre-2017) | C1 | Algebra and Functions | Quadratic factorising | - |

OCR AS Maths 2017 | Pure Maths | Equations and Quadratics | Factorising Quadratics | - |

OCR MEI AS Maths 2017 | Pure Maths | Quadratics | Factorising Quadratics | - |

OCR-MEI A-Level (UK - Pre-2017) | C1 | Algebra and Functions | Quadratic factorising | - |

Pre-U A-Level (UK) | 1 | Algebra and Functions | Quadratic factorising | - |

Scottish (Highers + Advanced) | HM2 | Algebra and Functions | Quadratic factorising | - |

Scottish Highers | M2 | Algebra and Functions | Quadratic factorising | - |

Universal (all site questions) | A | Algebra and Functions | Quadratic factorising | - |

WJEC A-Level (Wales) | C1 | Algebra and Functions | Quadratic factorising | - |