Answer
$(t+2)(t+8)$
Work Step by Step
$t^2+10t+16$
Factors of 16 | Sum of Factors
$\ \ \ \ \ \ 1,16\ \ \ \ \ \ \ |\ \ \ \ \ \ \ \ \ \ 17$
$\ \ \ \ \ \ 2,8\ \ \ \ \ \ \ \ \ |\ \ \ \ \ \ \ \ \ \ 10\checkmark$
$\ \ \ \ \ \ 4,4\ \ \ \ \ \ \ \ \ |\ \ \ \ \ \ \ \ \ \ 8$
Since all the terms in the binomial are added, the factors will both include addition.
$t^2+10t+16=(t+2)(t+8)$
Use the FOIL method to check the answer.
$(t+2)(t+8)=t^2+8t+2t+16=t^2+10t+16\checkmark$
