Polynomials. Equations and inequality

The book contains about a thousand tasks that can be used in the study of algebra in both ordinary and specialized physical and mathematical classes (for example, along with the book "Modern Elementary Algebra") and in preparation for the exam and other exams and mathematical Olympiads up to itself. high level. It can serve as an addition to famous tasks used in high school (Alfutova-Ustinov, Prasolov, Thaddeeva-Sominsky, Shklyarsky-Schegloma, etc)
There are sets of tasks on the main topics studied at school : algebraic trigonometric equations and systems, solution of algebraic and trigonometric inequalities, proof of inequalities, complex numbers. The issues that go beyond the school curriculum are considered, but accessible to the understanding of schoolchildren. The necessary theoretical information is set out in the form of tasks.
The book has both light and difficult tasks, offered at one time at mathematical olympiads or containing non -trivial facts from the theory that go beyond the program (usually located at the ends of the sections) Part of the tasks is left without instructions and solutions, teachers can use them for training exams and olympiads.
It is of interest to both schoolchildren and students, teachers and all fans of mathematics