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The public transport company in Bordeaux is TBC. You can search an itinerary from there. Unfortunately the site is in french only.
There are two Rue du Professeur Jeanneney that are known by the service: one in Bordeaux (north of train station), the other one in Talence (south of train station). According to Première Classe site, the one featuring a Première Classe hotel is north.
The itinerary found is tram C then bus 7.