How Would I Factorise A Quadratic Equation?

Factorising is a way of 'converting' an equation into a form with brackets in order to make it more useful and easier to manipulate. It is the reverse of expanding an equation.

For example:

To factorise the quadratic x2+5x+6, you need to look for a pair of numbers that multiply to give 6 and at the same time, add up to 5.

In this case, this is 3 and 2.

This means we can factorise and write the equation x2+5x+6 as (x+2)(x+3).

CG
Answered by Cameron G. Maths tutor

4515 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A,B and C all lie on the line x^2 + y^2 = 49 where A is on the y axis, B is on the X axis and C is the mid point of the straight-line connecting A and B.


The line L passes through the points (-2,3) and (6,9). How do I find the equation of the line that is parallel to L and passes through the point (5,-1)?


By plotting appropriate graphs, find x to the nearest integer if x^2+3=2-4x.


Tom thinks of a number. He squares it, adds 3 times the original number and then subtracts 18. The result is 0. What two numbers could Tom have been thinking of?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning