Factorize:
$2 m^{3} + 3 m - 2 m^{2} - 3$

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Solution

Given polynomial is $2 m^{3} + 3 m - 2 m^{2} - 3$
It can be factorised as
$2 m^{3} + 3 m - 2 m^{2} - 3 = m (2 m^{2} + 3) - 1 (2 m^{2} + 3)$
$= (m - 1) (2 m^{2} + 3)$
Thus factors are $(m - 1), (2 m^{2} + 3)$ .

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