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Factorisation by Common Factors

Factorise: ...

Question

Factorise: $2 x^{2} + 11 x - 21$

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Solution

$2 x^{2} + 11 x - 21$
$\Rightarrow 2 x^{2} + 14 x - 3 x - 21$
$\Rightarrow 2 x (x + 7) - 3 (x + 7)$
$\Rightarrow (2 x - 3) (x + 7)$
Hence, the answer is $(2 x - 3) (x + 7) .$

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