Answer
$(x-38)(x-21)$
Work Step by Step
$x^2-59x+798$ has no common monomial factors.
=$(\ \ \ \ \ \ \ \ \ )(\ \ \ \ \ \ \ \ \ )$
=$(x\ \ \ \ \ \ \ )(x\ \ \ \ \ \ \ )$
=$(x-\ \ )(x-\ \ )$ Since the 2nd term is negative and the 3rd is positive, both factors of 798 must be negative.
=$(x-38)(x-21)$ -38 and -21 have a sum of -59 and a product of 798.