Answer
$(x+4)(x+15)$
Work Step by Step
$x^2+19x+60$ has no common monomial factors.
=$(\ \ \ \ \ \ \ \ \ )(\ \ \ \ \ \ \ \ \ )$
=$(x\ \ \ \ \ \ \ )(x\ \ \ \ \ \ \ )$
=$(x+\ \ )(x+\ \ )$ All the terms in the trinomial are positive.
=$(x+4)(x+15)$ 4 and 15 have a sum of 19 and a product of 60.