Factorize: $2 x^{2} + 7 x + 3$

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Solution

Factorize the given polynomial:
Given polynomial is $2 x^{2} + 7 x + 3$
By middle term split method,
$2 x^{2} + 7 x + 3$ $=$ $2 x^{2} + 6 x + x + 3$
$=$ $2 x (x + 3) + 1 (x + 3)$
$=$ $(2 x + 1) (x + 3)$
Hence, the factorized form of the given polynomial is $(2 x + 1) (x + 3)$ .

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