This article examines rational fractions defined over the field of real and complex numbers, their properties, and methods for factoring into sums of partial fractions. The paper presents a theory for extracting the integer part from an improper rational fraction, as well as the factorization of proper rational fractions into partial fractions using linear and quadratic factors. It also demonstrates solutions to practical examples using the method of undetermined coefficients, the Lagrange method, and Horner's scheme, and proves the main theorems. This article is intended for use as a resource for students at higher education institutions and academic lyceums.
| Mualliflar | Kalekeeva, Tamara Turkmenbaevna, Utepbergenova, Aymereke Dauletmuratovna, Kuanyshbaeva, Khurliman Sabitovna, Kalekeeva, Tamara Turkmenbaevna, Utepbergenova, Aymereke Dauletmurat qızı, Quanıshbaeva, Hurliman Sabit qızı, Калекеева, Тамара Туркменбаевна, Утепбергенова, Аймереке Даулетмуратовна, Куанышбаева, Хурлиман Сабитовна |
|---|---|
| Jurnal | Ilim ha’m ja’miyet |
| Nashr sanasi | 2026-05-16 |
| Son | 3-1 |
| Betlar | 17-20 |
| Til | kaa |
ratsional kasr, to‘g‘ri va noto‘g‘ri kasrlar, sodda kasrlar, ko‘paytuvchilarga ajratish, Lagranj metodi, Gorner sxemasi, kompleks sonlar, рациональная дробь, правильные и неправильные дроби, простейшие дроби, разложение на множители, метод Лагранжа, схема Горнера, комплексные числа, rational fraction, proper and improper fractions, unit fractions, factorization, Lagrange's method, Horner's scheme, complex numbers
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