\(2x^2 – 7x – 4\) factorises as \((2x + 1)(x – 4)\). \((2x + 1)(x – 4) = 0\). \(2x + 1 = 0 \) means \(x = -\frac{1}{2}\). \(x – 4 = 0\) means \(x = 4 ...
The difference of two squares can be factorised into brackets using the method above for factorising quadratics. Factorise \(x^2 - 4\). Quadratics can be factorised into the form \((x + a)(x + b)\).