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

Related Maths GCSE answers

All answers ▸

Solve (x+2)/3x + (x-2)/2x = 3


Find the points at which the equation y = x^2 - 12x + 35 intersects the x-axis.


A particle P of mass 0.4 kg is moving under the action of a constant force F newtons. Initially the velocity of P is (6i – 27j) m s−1 and 4 s later the velocity of P is (−14i + 21j) m s−1 . Find, in terms of i and j, the acceleration of P.


Write down the value of 36^0.5