Answer
$3~sin^2x-5~sin~x-2=(3~sin~x+1)(sin~x-2)$
Work Step by Step
$3~sin^2x-5~sin~x-2=3~sin^2x-6~sin~x+sin~x-2=$
$=3~sin~x~(sin~x-2)+1~(sin~x-2)=(3~sin~x+1)(sin~x-2)$
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