Answer
$(3x+5)(x-1)$
Work Step by Step
$3x^{2}+2x-5=$
Two factors of $ac=-15$, whose sum is $b=+2$
are $+5$ and $-3$.
Rewrite $2x$ as $5x-3x$ and factor in pairs.
$3x^{2}+2x-5=3x^{2}+5x-3x-5=$
$=x(3x+5)-(3x+5)$
$=(3x+5)(x-1)$
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