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Factorising simple quadratics
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Factorising quadratics when $a \ne 1$

The general quadratic form is $ax^2 \pm bx \pm c$ where $a, b, c \in\Bbb{R}$ ($a, b, c$ are in the set of real numbers). Up to this point, we have only attempted to factorise quadratics where $a=1$. In this section, we will look at quadratics where $a$ is other than $1$.

The methods available to us are many and various. I have a particular favourite, as it enabled me, slow as I am, to factorise these things in my head as easily as when $a=1$. However, I will cover several methods and you should use the one that works best for you.

The worked examples are different here as they work with the same quadratics, but using different methods. Hopefully, this will help you to pick the one that is best for you.