形式为(N(p))/(D(p))的多项式分解为部分分式的规则研究。

IF 0.4 4区综合性期刊 Q4 ECOLOGY

Interciencia Pub Date : 2023-01-01 DOI:10.59671/wnzkd

Dr RK Mahlobo

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引用次数: 0

摘要

本文研究了形式为(N(p))/(D(p))的多项式分解成部分分式的问题。概述了分数分解的两种方法，以加强对学生概念的教学。许多微积分教科书给出了将(N(p))/(D(p))分解为部分分式的通用规则。当分母D(p)=〖(p)〗^2-a^2 (bp^2+cp+ D)时，对于bp^2+cp+ D是一个不可约的二次表达式，且分子N的阶小于分母D的阶，即deg (N)

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Investigation of Rules for Decomposition of the Polynomial of the Form (N(p))/(D(p)) into Partial Fractions.

An investigation of the decomposition of the polynomial of the form (N(p))/(D(p)) into partial fractions is conducted in this article. Two approaches to the decomposition of the fraction are outlined, to enhance the teaching of the concept to students. Many Calculus textbooks give common rules for the decomposition of (N(p))/(D(p)) into Partial Fractions. The rule that if the denominator D(p)=〖(p〗^2-a^2)(bp^2+cp+d), for bp^2+cp+d an irreducible quadratic expression, and that the degree of the numerator N is less than that of the denominator D, that is, deg⁡(N)

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来源期刊

Interciencia 综合性期刊-生态学

CiteScore

0.80

自引率

25.00%

发文量

审稿时长

4-8 weeks

期刊介绍： Interciencia is the monthly multidisciplinary publication of the INTERCIENCIA Association. It is dedicated to stimulate scientific research, its humanitarian use and the study of its social context, specially in Latin America and the Caribbean and to promote communication between the scientific and technological communities of the Americas. Interciencia has been published uninterruptedly since 1976. Its Founding Director, Marcel Roche (endocrinologist and sociologist of science) was editor until 2008, and thereafter Miguel Laufer (neurobiologist) has been in charge. It has been included since 1978 in the Science Citation Index and other international indexes, and since 2008 it maintains an open access electronic version with material from 2005 onwards. The priority areas of the journal, without exclusion of other areas, are Agronomy, Arid Lands, Food and Nutrition, Biotechnology, Ecology and Environment, Energy, Innovation and Technology Transfer, Marine Resources, Non-renewable Resources, Science Education, Science Policy, Study and Sociology of Science, and Tropical Forests. Interciencia publishes in Spanish, Portuguese and English research and review articles, communications and essays, all of which are subjected to peer review. Additionally, it includes non-refereed sections such as Editorial, Letters to the Editor, Open Town Hall, Book Reviews and Upcoming Events. All the material submitted to the journal for publication and accepted by the Editorial Committee in view of its quality and pertinence is subjected to review by peer specialists in the corresponding fields of knowledge. Neither the INTERCIENCIA Association, nor the journal or the institutions to which the authors belong carry responsibility for the contents. Signing authors are responsible for the material published under their names.