Question
Factorise: $\frac{2}{3}\text{x}^2-\frac{17}{3}\text{x}-28$
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Answer
$\frac{2}{3}\text{x}^2-\frac{17}{3}\text{x}-28$ $=\frac{2}{3}\text{x}^2+\frac{7}{3}\text{x}-8\text{x}-28$ $=\frac{\text{x}}{2}(2\text{x}+7)-4(2\text{x}+7)$ $=\Big(\frac{\text{x}}{3}-4\Big)(2\text{x}+7)$
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