Divide $6 x^{2} - x - 15$ by $(2 x + 3)$ and also verify the result.

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Solution

$6 x^{2} - x - 15 = 6 x^{2} + 9 x - 10 x - 15$

$⟹ 3 x (2 x + 3) - 5 (2 x + 3)$

$⟹ (2 x + 3) (3 x - 5)$

Dividing by $2 x + 3$ we get,

$= 3 x - 5$

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