Factorising simple quadratics
Before you begin to factorise quadratics, it is really important that you understand how to expand quadratics and can do this quickly and accurately. Factorising is the opposite of expansion - you are aiming to remove common factors and put brackets back in.
In the simplest case, a quadratic like x² + 5x + 6 should be factorised into "double brackets" to give (x + 3)(x + 2).
In simple cases, you may be able to "spot" straight away how a quadratic expression factorises, especially if you know your times tables well.