Factorise:

$2 x^{2} - 17 x - 30$

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Solution

$2 x^{2} - 20 x + 3 x - 30 ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} ∵ 2 \times (- 30) = - 60 ∴ - 17 = - 20 + 3 - 60 = - 20 \times 3 \end{matrix} ⎫ ⎪ ⎬ ⎪ ⎭ = 2 x (x - 10) + 3 (x - 10) = (x - 10) (2 x + 3) A n s .$

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