Answer
$(2x - 1)(x + 4)$
Work Step by Step
Separate the middle term into two separate terms that can be factored with the outer terms:
$2x^2 + 7x - 4$
$2x^2 + 8x - x - 4$
$2x(x + 4) -1(x + 4)$
$(2x - 1)(x + 4)$
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