Answer
$(a+4)(a+23)$
Work Step by Step
$a^2+27a+92$ has no common monomial factor
$=(\ \ \ \ \ \ \ \ )(\ \ \ \ \ \ \ \ )$
$=(a\ \ \ \ \ \ )(a\ \ \ \ \ \ )$
$=(a+\ )(a+\ )$ All signs in the trinomial are positive.
$=(a+4)(a+23)$ 4 and 23 have a sum of 27 and a product of 92.