Answer
$(x+22)(x-5)$
Work Step by Step
$x^2+17x-110$ has no common monomial factor
$=(\ \ \ \ \ \ \ \ )(\ \ \ \ \ \ \ \ )$
$=(x\ \ \ \ \ \ )(x\ \ \ \ \ \ )$
$=(x+\ )(x-\ )$ The factors of -110 must have unlike signs.
$=(x+22)(x-5)$ 22 and -5 have a sum of 17 and a product of -110.