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Abstract. Mathematics has traditionally been a very important subject in the course of learning. It plays a major role in promoting the formation of students' logical thinking and the construction of students' systematic knowledge. As an important part of high school algebra in mathematics to relate people's concern and attention, through examples and methods can make students to learn in the process of clear, prompting students to understand this part. Taking this into account, this paper analyzes and studies the typical problems and methods in advanced algebra, hoping to provide reference for the improvement of algebra teaching quality.