Answer
$2(a+5)(a-11)$
Work Step by Step
$2a^2-12a-110\longrightarrow$ 2 is a common factor
$2(a^2-6a-55)$
$=2(\ \ \ \ \ \ \ \ )(\ \ \ \ \ \ \ \ )$
$=2(a\ \ \ \ \ \ )(a\ \ \ \ \ \ )$
$=2(a+\ )(a-\ )$ The factors of -55 must have unlike signs.
$=2(a+5)(a-11)$ 5 and -11 have a sum of -6 and a product of -55.
