Answer
$(x+12)(x+16)$
Work Step by Step
$x^2+28x+192$ has no common monomial factors.
=$(\ \ \ \ \ \ \ \ \ )(\ \ \ \ \ \ \ \ \ )$
=$(x\ \ \ \ \ \ \ )(x\ \ \ \ \ \ \ )$
=$(x+\ \ )(x+\ \ )$ All the terms of the trinomial are positive.
=$(x+12)(x+16)$ 12 and 16 have a sum of 28 and a product of 192.