Answer
$ 2x ( x+7) (x-6)$
Work Step by Step
$2x^3 + 2x^2 -84x = 2x( x^2 + x - 42) = 2x ( x^2 +7x - 6x - 42) = 2x (x (x+7) - 6 (x +7)) = 2x ( x+7) (x-6)$
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