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Try installing the CA Root Cert via a Group Policy.<br />
<br />
<a href="http://technet.microsoft.com/en-us/library/cc738131(v=ws.10).aspx" rel="ugc">http://technet.microsoft.com/en-us/library/cc738131(v=ws.10).aspx</a><br />
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The following URL will help you to be sure your certificate is accurate<br />
<br />
<a href="http://exchangeserverpro.com/configure-an-ssl-certificate-for-exchange-server-2010" rel="ugc">http://exchangeserverpro.com/configure-an-ssl-certificate-for-exchange-server-2010</a>
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Try installing the CA Root Cert via a Group Policy.

http://technet.microsoft.com/en-us/library/cc738131(v=ws.10).aspx [http://technet.microsoft.com/en-us/library/cc738131(v=ws.10).aspx]

The following URL will help you to be sure your certificate is accurate

http://exchangeserverpro.com/configure-an-ssl-certificate-for-exchange-server-2010 [http://exchangeserverpro.com/configure-an-ssl-certificate-for-exchange-server-2010]

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I can't do it that way as this is a multi-tenant &nbsp;environment in 2010 SP1 using the /hosting switch. &nbsp;Can you tell me how to make the Outlook client add the certificate the way that it is?
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I can't do it that way as this is a multi-tenant  environment in 2010 SP1 using the /hosting switch.  Can you tell me how to make the Outlook client add the certificate the way that it is?

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Are you using self sign certificates?<br />
<br />

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No there is a GoDaddy Cert for the external domain, but I don't have a redirection server set up yet to address the certificate issue. &nbsp;<br />
So, is there a way to just have Outlook accept the GoDaddy cert and move on?
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No there is a GoDaddy Cert for the external domain, but I don't have a redirection server set up yet to address the certificate issue.  
So, is there a way to just have Outlook accept the GoDaddy cert and move on?

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No split DNS. &nbsp;Again, is there a way to just add an exception for the cert in Outlook?
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No split DNS.  Again, is there a way to just add an exception for the cert in Outlook?

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We have some 2010 Outlook clients that get a certificate error every time they log into the Exchange. &nbsp;We are aware of the mismatch but we know that it is our cert. &nbsp;Is there a way to add it as an exception or something so Outlook stops prompting?
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We have some 2010 Outlook clients that get a certificate error every time they log into the Exchange.  We are aware of the mismatch but we know that it is our cert.  Is there a way to add it as an exception or something so Outlook stops prompting?

Outlook 2010 certificate work around

Microsoft Outlook is a personal information manager from Microsoft, available as a part of the Microsoft Office suite. Although often used mainly as an email application, it also includes a calendar, task manager, contact manager, note-taker, journal, and web browser.

Outlook

Exchange is the server side of a collaborative application product that is part of the Microsoft Server infrastructure. Exchange's major features include email, calendaring, contacts and tasks, support for mobile and web-based access to information, and support for data storage.