Answer
$(x+24)(x-16)$
Work Step by Step
$x^2+8x-384$ has no common monomial factors.
=$(\ \ \ \ \ \ \ \ \ )(\ \ \ \ \ \ \ \ \ )$
=$(x\ \ \ \ \ \ \ )(x\ \ \ \ \ \ \ )$
=$(x+\ \ )(x-\ \ )$ The factors of -384 must have unlike signs.
=$(x+24)(x-16)$ 24 and -16 have a sum of 8 and a product of -384.