How to answer behavioral & clinical questions?

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Hello, 

I'm preparing for an interview with a panel next month. In addition to looking up videos on other websites to prepare, how would you guys answer the question "How would you deal with a coworker who you disagree with?"

I respond with I will approach them in a calm and gentle manner in order to come to an agreement of solving an issue away from the patients/staff view in a private room. I can't think of anything else haha. Any tips/insights regarding behavioral questions? I feel like I'm bad at this.