Over the course of a President's career, polls: almost always a President's popularity stays very even from the time of the first election until a President leaves office generally show a President becoming more popular the longer in office most often show a President losing popularity the longer in office almost always show an increasing popularity for a second term of a two term President
Over the course of a President's career, polls "most often show a President losing popularity the longer in office," since it often becomes clear that the president is unable to keep many of the promises he initially made.