Factorising Non-Monic Quadratics Using the Diamond Method

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Here I explain the Diamond Method for factorising quadratic expressions. It is, in fact, a variant of the Berry Method (see my last video). This time, instead of waiting to divide the factors after they have been constructed, all the division/simplifying is completed on the right hand side of the page where all the "working" is done!

This means that, apart from the work on the RHS of the page, the entire factorisation is completed on the one line!

I encourage you to try this technique out. Factorise a few quadratic expressions this way to "get a feel" for the process. Even if you decide this isn't for you, you will have gained from the experience!

If you wish to practise these skills, you may wish to use my FREE Excel workbook to produce a virtually unlimited variety of expressions for you to practise on. In each case, the answers are provided on the same sheet! Teachers, feel free to provide a copy of this to each of your students. It will help them develop their skills quickly. You might even consider using it in class. Please understand that I retain copyright and give you permission to distribute freely, but not to sell it in any way.

If you find this workbook useful (or if you have suggestions for improvements), please come back and leave a comment below the video. Thank you.

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Best wishes for your study and your mathematics!