When factorising quadratic expressions do you check coefficients first? If the coefficient of x^{2} and the constant are prime for example you should be able to just write down the factorisation without needing an elaborate method.

Some students have difficulty with **the splitting the middle term method**; you might like an alternative – try the box method.

For instructions on the method:

**Quadratic Factorisation Box method** (pdf file)

Working on **Quadratic Grids **from **Underground Mathematics **will help you develop and understand the method.

Perhaps even simpler is **Lyszkowski’s method** which avoids the manipulation required by conventional methods.

Comparing the two methods with an example:

We could have a look at the general case for the box method :

and for Lyszkowski’s method:

Have a look at this series of videos on **Factorising Quadratic Expressions from Exam Solutions**. You could try the examples given with the various methods presented.

I would be interested to hear student views, which methods do you like?

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