Answer
$(2x-1)(x+4)$
Work Step by Step
Factor by trial and error. Since the coefficient of the first term $\gt1$, multiply it by the third term, and use trial and error from there. Then replace the second term with the two new terms. Next, make two groups, and find the GCFs of them to factor.
$2x^2+7x-4$
$2x^2+8x-x-4$
$2x(x+4)-1(x+4)$
$(2x-1)(x+4)$
