Answer
$(2x-1)(x+3)$
Work Step by Step
$2x^{2}+5x-3=$
two factors of $ac=-6$ whose sum is $b=+5$ are $-1$ and $+6.$
Rewrite the middle term and factor in pairs.
$2x^{2}+5x-3=2x^{2}+6x-x-3$
$=2x(x+3)-x+3)$
$=(2x-1)(x+3)$
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