Answer
$(t-2)(t-10)$
Work Step by Step
The first term in each binomial must be t, since $t^2$ has no coefficient.
The operation in each binomial must be subtraction, since the trinomial has a positive and a negative term.
$-2+(-10)=-12$ and $-2\times(-10)=20$, so the other two terms are -2 and -10.