Explanation:

Let's break it down:

- A candidate received 85% of the votes.

- The margin of victory is 910 votes.

- This means the other candidate received 15% of the votes.

Let's set:

- Total votes polled = \(x\)

- Votes for the candidate = 85% of \(x\)

- Votes for the opponent = 15% of \(x\)

The equation based on the margin is:

$$ \text{Votes for candidate} - \text{Votes for opponent} = \text{Margin of victory} $$

$$ 0.85x - 0.15x = 910 $$

$$ 0.7x = 910 $$

$$ x = \frac{910}{0.7} $$

$$ x = 1300 $$

Therefore, the total number of votes polled is 1300.

- Option 3: 1300 is the correct total votes polled.