Which of the following documents is recorded with the county to notify the public of the lender's security interest in the subject property?

The document that is recorded with the county to notify the public of the lender's security interest in the subject property is the mortgage. When a mortgage is recorded, it creates a public record indicating that the lender has a claim against the property as collateral for the loan. This recording is essential because it establishes the lender's legal right to the property in the event of default by the borrower, thereby protecting the lender's financial interest.

The recorded mortgage includes crucial information about the parties involved, the property, and the terms of the loan. This public notice is important for various stakeholders, including potential buyers or other creditors, as it communicates that the property is encumbered by a debt. In contrast, other documents such as the note—which outlines the borrower's promise to repay the loan—and the closing disclosure, which details the financial aspects of the transaction, are not recorded with the county and do not serve to establish a public record of the lender's security interest. The lien establishment rider is a specific agreement that may relate to the mortgage but does not, by itself, function as the recorded document that communicates the security interest.