Answer
Zinc Carbonate: $Zn (CO_{3)}$
Zinc Oxide: $ZnO$
Carbon dioxide: $CO_{2}$
Work Step by Step
Zinc Carbonate is $Zn (CO_{3)}$, Carbonate anion has a -2 charge so Zinc cation should have a +2 charge, making the overall compound neutral.
Zinc Oxide as $ZnO$, Oxide anion has a -2 charge so Zinc cation should have a +2 charge, making the overall compound neutral.
Carbon dioxide as $CO_{2}$: Fact.