The normative pattern for handling multi-valued attributes, or repeating values, is to add a second table.
Consider a purchase order that can have more than one line item on it. We represent the line items in a child table, with a foreign key to the parent in the purchase order table:
CREATE TABLE `purchase_order` (id int not null, foo varchar(200), ... );
CREATE TABLE `line_item` (id int not null, order_id int not null, ... );
ALTER TABLE `line_item` ADD FOREIGN KEY (order_id) REFERENCES order(id) ;
INSERT INTO purchase_order (id, foo) VALUES (101, 'bar');
INSERT INTO purchase_order (id, order_id) VALUES (783, 101);
INSERT INTO purchase_order (id, order_id) VALUES (784, 101);
INSERT INTO purchase_order (id, order_id) VALUES (785, 101);
We can get a count of the line items associated with a purchase order, like this:
SELECT COUNT(1)
FROM line_item
WHERE order_id = 101;
Or, we can get a count of line items for every purchase order, like this:
SELECT o.id, COUNT(l.id) AS count_line_itesm
FROM purchase_order o
LEFT
JOIN line_item l
ON l.order_id = o.id
GROUP BY o.id
In your case, what are the entities you need to represent (person, place, thing, concept or event; which can be uniquely identified and you need to store information about.
I'm having difficulty conceptualizing what entities it is you are need to represent.
poll -
poll_question - a single question on a given poll
poll_question_answer - a possible answer to a question to a given poll question
voter -
ballot - associated with one voter and one poll (?)
vote - the answer given to a particular poll question
Good database design comes from an understanding of the entities and the relationships, and developing a suitable model.