Yes, it is important is to find the cause of nose bleed—infection, trauma, rhinitis, using blood thinning medications,
nasal sprays, high blood pressure, bleeding disorders, polyps and growths
in nasal cavity. Yes, bleeding from the posterior nares into the mouth cavity can cause the taste of blood to stay in the mouth for a long time. Gargle with normal water and clean your mouth well by brushing and using a tongue cleaner.