When factorising quadratic expressions do you check coefficients first? If the coefficient of x2 and the constant are prime for example you should be able to just write down the factorisation without needing an elaborate method.
However, when that is not the case then try these handy techniques.
Full details of the ‘box’ method and Lyszlowski’s method are provided in this post:
Factorisation of Quadratic Expressions.