Where does the apostrophe go in 'to meet the partners objectives'?

It goes in one of two places depending on the number of partners involved.  If there are several partners being discussed, the more likely scenario, then it is partners'.  If this particular statement refers to one partner, then it is partner's. In a business setting there are probably several partners depending on context.  There might be one partner being considered if the discussion concerns domestic partners, or businesses where there are only two partners.  For example, this particular part of the discussion could be about the objectives of one partner in a domestic relationship.  Note:  the word objectives is plural and is correct as it stands.  You do not put an apostrophe between the e and s of that word.