The Ministry of Education and Science of the Republic of Kazakhstan The Department of Education of capital of Kazakhstan composition: Prepared by: Subject: Leader: scientific investigate supervisor: Generalization of Cardanos verbalism Abai Kozhabergenov Danel Arapov math Muammer Gul Teacher of mathematics A.Kh.Otarov PhD in mathematics prof of the Eurasian National University Abstract Topic: Generalization of Cardanos formula mathematical function: Construction of some multinomials of degree n solvable in radicals. Hypothesis: Possibility of constructing polynomials of degree n with given conditions. Stages of add: Familiarization with equations which are solvable in radicals. arrangement of scientific information. attend for information in the Internet. Practical natural covering: T his work is profitable for the students of universities and secondary schools, classes which study advanced mathematics. question result: Theorems, the topographic point of roots of polynomials of degree n in the field of labyrinthian numbers solvable in radicals can be be with the help of constructing Fn(x) polynomials of degree n. The proven theorems represent generalization of Cardanos formula. Table of contents door...4 Research part......................5-19 1. Construction of the Fn(x) polynomial and preliminary results ........................5 2. n?1(mod 2), b2-4a n < 0 6 3. n? 0(mod 2), b2- 4a n< 0 ..8 4. n?1 (mod 2), b2-4a n> 0 ...9 5. n? 0(mod 2), b2-4a n > 0 .....10 6. The Chebyshev polynomials ......11 7. n?1(mod 2), b2-4a n = 0 ......14 8....If you want to take hold of a full essay, order it on our website: OrderEssay.net
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