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Factorisation

Factorise the...

Question

Factorise the following:
$6 x^{2} + 11 x - 10$

(3 x + 7) (5 x - 2)

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(2 x + 5) (3 x - 2)

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(x + 2) (x + 6)

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(x + 4) (x - 2)

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Solution

The correct option is C $(2 x + 5) (3 x - 2)$
$6 x^{2} + 11 x - 10$
$= 6 x^{2} + 15 x - 4 x - 10$
$= 3 x (2 x + 5) - 2 (2 x + 5)$
$= (2 x + 5) (3 x - 2)$

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