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所在平台: Udemy |
课程主页: https://www.udemy.com/course/all-about-factoring/
课程评论：没有评论
以下是Coursera课程“All About Factoring”的内容总结： 本课程旨在深入讲解多项式的因式分解，并阐明其与求解多项式零点的区别。课程强调因式分解在多项式函数图像绘制中的重要性，指出掌握因式分解是绘制函数图像的关键。 课程将系统性地介绍多项式因式分解的所有规则，涵盖： * **基础因式分解：** 主要针对首项系数（a值）为1的情况。 * **“底部向上”或“a/c法”：** 包括首项系数（a值）为1和大于1两种情况。 * **提取最大公因式（GCF）：** 学习如何找出并提取多项式中的最大公因式。 * **分组分解：** 介绍分组分解的方法及其适用条件。 * **特殊因式分解规则：** * 平方差公式 * 立方差公式及其应用 * 立方和公式及其应用 * **求解x轴截距：** 讲解使用二次公式（quadratic formula）来查找x轴截距，这对于函数图像绘制至关重要。 * **有理数根定理和综合除法：** 作为因式分解的最后手段，介绍有理数根定理和综合除法。 通过本课程的学习，学员将能够全面理解和掌握多项式因式分解的各种方法，并将其应用于求解多项式零点和绘制多项式函数图像。
In this course, I will explain the difference between completely factoring a polynomial, and solving for the actual zeroes. I will explain the importance of factoring, and how it can help when graphing a polynomial. Basically, you need to know how to properly factor a polynomial if you want to graph a polynomial. In this course, I will go over all the factoring rules of a polynomial. In this course, I will go over all the factoring rules of a polynomial. I will go over simple factoring when the a-value is equal to one. I will go over bottoms up factoring also known as the a/c method when the a-value is equal to one. I will go over bottoms up factoring also known as the a/c method when the a-value is greater than one. I will go over factoring out the greatest common factor or known as factoring out GCF. I will go over grouping by factoring, and when can you use grouping by factoring. I will go over finding x- intercepts by using quadratic formula which will be useful when graphing a polynomial. I will go over factoring special factoring rules such as factoring using a difference of two squares. I will go over factoring the difference of two cubes, and when to use it. I will go over factoring a sum of two cubes, and when can you use the rule. Finally, I will properly go over rational zero theorem, and synthetic division the last resort of factoring.
