Can I optimize for multiple keywords on a single webpage, and if so, how should I prioritize them?

Optimizing for multiple keywords on a single page is definitely possible, but you'll want to prioritize them properly. Here's my recommendation:

First, identify your primary target keyword - this is the term most core to what that page is all about and ranks for mainly. Then list out any secondary keywords that are also highly relevant to the content.

For that primary keyword, you'll want to use it strategically in key on-page elements like:

- Page Title

- H1 Heading

- A few times within the body content (but don't overdo it)

- Image alt text

- Meta description

- URL slug

Hitting that primary term hard in those areas signals to search engines that the page is extremely relevant to that core topic.

As for your secondary keywords, integrate those a bit more loosely throughout places like:

- H2/H3 subheadings

- Body paragraphs

- Image alt text

But don't go crazy - keyword stuffing can actually backfire. Only use those secondary terms where they make sense naturally within the context.

The overall content should really maintain a cohesive focus on that primary topic and target keyword above all else. Don't try to cover too many subtopics or it'll come across as unfocused.

You can also link out to other related content on your site using variations of your keywords. This reinforces the relevance of those terms too.

After publishing, keep an eye on how that page ranks for each of your target terms over time. You may need to adjust things like internal links or content to emphasize particular keywords more.

The key is optimizing very strongly for that primary term, while still getting those secondary keywords in there enough to cover some additional relevance too. With some prioritization and cohesive content, you can target multiple keywords effectively on one page without overdoing it.