The answer choice which represents the quotient of the expression given is; 1/(t+4)².
It follows from the task content that the quotient which is to be evaluated is;
(t+3)/t+4) ÷ (t²+7t +12)
The quotient can therefore be evaluated as follows;
= (t+3)/t+4) ÷ (t+3)(t+4)
= (t+3)/t+4) × 1/(t+3)(t+4)
= 1/(t+4) × 1/(t+4)
= 1/(t+4)².
Read more on factorisation;
https://brainly.com/question/52959
#SPJ1