Factorise: 2 x^2-17 x-30 - Vidyadip

Question

Factorise:
$2 x^2-17 x-30$

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Answer

$2 x^2-17 x-30$
$=2 x^2-20 x+3 x-30$
$\{2 \times(-30)=-60,-17=-20+3,-60=-20 \times 3\}$
$=2 x(x-10)+3(x-10)$
$=(x-10)(2 x+3)$

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