Let $x be defined as x+(1/x) for all nonzero integers x. If $x=t, where t is an integer, which of the following is a possible value of t? ($ is a symbol in this case)

a) 1

b) 0

c) -1

d) -2

e)-3

Is it d) because with all the other values (when you plug it in) factoring does not work out?

THANK YOU Mike!