Johns Hopkins University
Honors Algebra 2: Polynomials and Complex Numbers
Johns Hopkins University

Honors Algebra 2: Polynomials and Complex Numbers

本课程是 Honors Algebra 2 专项课程 的一部分

Joseph W. Cutrone, PhD

位教师：Joseph W. Cutrone, PhD

顶尖授课教师

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September 2025

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12 项作业

授课语言：英语（English）

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本课程是 Honors Algebra 2 专项课程 专项课程的一部分
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该课程共有3个模块

You’ve already worked with quadratic equations and discovered how powerful they are for modeling and problem-solving. But what happens when a quadratic has no real solutions? Does the journey stop there? Not at all—this is where mathematics becomes even more fascinating. In this module, you’ll be introduced to complex numbers, an extension of the real number system that ensures every quadratic equation has a solution. You’ll learn how to work with these new numbers, visualize them, and see how they unlock doors to deeper mathematical ideas used in engineering, physics, and beyond. Get ready to expand your number system, sharpen your problem-solving skills, and experience the excitement of discovering that mathematics is bigger—and more powerful—than you may have imagined.

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1个视频3篇阅读材料3个作业

Up to now, you’ve worked with linear and quadratic functions—two powerful tools for modeling relationships and solving problems. But these are just the beginning of a much bigger family of functions called polynomials. In this module, you’ll dive into polynomial functions of higher degree, uncovering the rules that define them and the algebraic techniques that let us work with them. From there, we’ll turn our attention to their graphs, learning how the degree and structure of a polynomial shape its behavior. By the end, you’ll see how these functions extend the patterns you already know and open the door to solving more complex, real-world problems.

涵盖的内容

5个视频5篇阅读材料4个作业

As we complete our study of polynomials, it’s time to take a closer look at their most important features—their roots, or zeros. In this module, you’ll learn powerful techniques for finding and analyzing these solutions, building on your understanding of complex numbers to tackle equations that go beyond the real number system. You’ll also explore how the roots of a polynomial influence the overall shape of its graph, and how these ideas connect to real-world modeling. By the end, you’ll see how polynomials tie together algebraic methods, graphical patterns, and practical applications, giving you a deeper appreciation for their role across mathematics and science.

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2个视频4篇阅读材料5个作业

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位教师

Joseph W. Cutrone, PhD

顶尖授课教师

Johns Hopkins University
27 门课程658,498 名学生

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Johns Hopkins University

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