Answer
$(x+22)(x-8)$
Work Step by Step
$x^2+14x-176$ has no common monomial factors.
=$(\ \ \ \ \ \ \ \ \ )(\ \ \ \ \ \ \ \ \ )$
=$(x\ \ \ \ \ \ \ )(x\ \ \ \ \ \ \ )$
=$(x+\ \ )(x-\ \ )$ The factors of -176 must have unlike signs.
=$(x+22)(x-8)$ 22 and -8 have a sum of 14 and a product of -176.