Find all real numbers where the function is discontinuous

y$=$x$+2$x$2-6$x$+8$

Question $4$ options:

A$)$

Discontinuous only at $$x$=2$

B$)$

x$=-5$

C$)$

Discontinuous only at$$x$=-2$ and $$x$=4$

D$)$

x$=3$

E$)$

Discontinuous only at $$x$=2$ and $$x$=4$

F$)$

Discontinuous only at x$=-4$and x$=2$