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所在平台: Udemy |
课程主页: https://www.udemy.com/course/polynomial-module-1/
课程评论：没有评论
本课程“多项式及其应用入门”旨在深入浅出地讲解多项式的基本概念及其在实际中的应用。课程将涵盖以下关键主题： * **多项式的定义与构成：** 解释什么是多项式，以及变量、系数和项在多项式中的具体含义。 * **多项式的核心属性：** 探讨多项式是否仅由系数和变量组成，数值单独是否能构成多项式，以及单项是否能形成多项式。 * **变量的指数规定：** 明确多项式中变量的指数是否可以是负数或分数。 * **多项式的结构与变量：** 讨论多项式是否只能包含一个变量，以及一项是否可以包含同一变量的不同幂次。 * **多项式的排序与表示：** 讲解多项式中项的排列顺序，特别是按变量降幂排列的约定及其含义。 * **具体多项式的解析：** 通过实例（如 5x² + 3x - 4）识别系数、变量和常数。 * **项的连接方式：** 阐述多项式中的项是通过加法或减法连接的。 * **变量无指数时的约定：** 说明当多项式中变量的指数未写出时，其数值是0还是1。 这门课程将帮助学习者全面理解多项式的本质，并为进一步学习相关数学知识打下坚实的基础。
1. What is the meaning of Polynomial?2. What is the meaning of variables?3. What is meant by coefficients?4. What is the meaning of term in the context of polynomial?5. Polynomial consists of only coefficients and variables. Comment.6. Whether numerical number alone can be a polynomial?7. Many terms come together and form a polynomial. Whether a single term can form a polynomial?8. Whether the power of variable in a polynomial can be negative?9. Whether the exponents on variable are allowed to be fractional?10. Whether a Polynomial has only one variable?11. Whether the terms in a Polynomial can contain different powers of the same variable?12. Whether the terms of a polynomial are compulsorily required to be arranged in descending order of the degree of the variable?13. Whether a polynomial can have multiple variables?14. It is a common convention to arrange to terms of a polynomial in descending order of the degree of variable. What does it mean?15. If there is a polynomial 5x2 + 3x - 4, identify coefficient, variable and constant?16. Whether it is correct that in the case of polynomial, the terms are connected by addition or substraction?17. If there is no power on variable in a polynomial, then it is to be taken as 0 or 1. Comment.
