Answer
$(x+18)(x-20)$
Work Step by Step
$x^2-2x-360$ has no common monomial factors.
=$(\ \ \ \ \ \ \ \ \ )(\ \ \ \ \ \ \ \ \ )$
=$(x\ \ \ \ \ \ \ )(x\ \ \ \ \ \ \ )$
=$(x+\ \ )(x-\ \ )$ The factors of -360 must have unlike signs.
=$(x+18)(x-20)$ 18 and -20 have a sum of -2 and a product of -360.