How do you factor $3 x^{2} + 10 x - 8 ?$

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Solution

Factorize the given expression:
Given expression is $3 x^{2} + 10 x - 8$
By middle term split method,
$3 x^{2} + 10 x - 8$ $=$ $3 x^{2} + 12 x - 2 x - 8$
$=$ $3 x (x + 4) - 2 (x + 4)$
$=$ $(3 x - 2) (x + 4)$
Hence, the factorized form of the given expression is $(3 x - 2) (x + 4)$ .

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