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Honors Algebra 2: Polynomials and Complex Numbers · LearnSpace
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Honors Algebra 2: Polynomials and Complex Numbers

Курс от Johns Hopkins University
Начальный≈ 12.1 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

Honors Algebra 2: Polynomials and Complex Numbers By the end of this course, learners will be able to analyze, graph, and transform polynomial functions, apply techniques such as factoring, division, and the Remainder and Factor Theorems to solve higher-order equations, and use the Fundamental Theorem of Algebra to understand the complete set of polynomial solutions. They will also develop fluency with complex numbers, performing arithmetic operations, representing them in both algebraic and geometric forms, and applying them to solve equations that have no real solutions. As the second course in the three-part Honors Algebra 2 specialization, this class moves beyond routine algebraic skills to build deep mathematical reasoning. Students will see how polynomials and complex numbers provide the foundation for modern algebra, engineering, and physics, while practicing advanced problem-solving strategies that encourage both precision and creativity. What makes this course unique is its balance of rigor and accessibility. Learners progress through challenging concepts with step-by-step guidance, visual explanations, and real-world applications that demonstrate why these topics matter. Completing this course prepares students not only to excel in advanced high school mathematics but also to transition confidently into college-level coursework.

Навыки, которые вы освоите

AlgebraMathematical ModelingMathematical Theory & AnalysisGraphingArithmeticEngineering CalculationsApplied MathematicsAdvanced Mathematics

Программа курса

3 модулей · 32 учебных материалов

01Quadratic Polynomials and Complex Roots7 материалов

Complex Numbers

Introduction to Complex NumbersЧтениеOperations with Complex NumbersЧтениеComplex NumbersЗадание

Complex Zeros of Quadratics

The Quadratic FormulaЧтение

Учитесь у экспертов

Joseph W. Cutrone, PhD

Associate Teaching Professor and Director of Online Programs

Honors Algebra 2: Polynomials and Complex Numbers
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Обучение на Coursera

≈ 12.1 ч

3 модулей

Язык: Английский

Субтитры: Дари, Казахский, Пушту

Часть программы вашего университета
Complex Roots of PolynomialsВидео
Complex Zeros of QuadraticsЗадание

Assessment

Quadratics and Complex NumbersЗадание
02Polynomial Functions and Graphs14 материалов

Introduction to Polynomials

Algebra of PolynomialsВидеоIntroduction to PolynomialsЧтениеPolynomial Sums and ProductsЧтениеIntroduction to PolynomialsЗадание

Polynomial Division and Factoring

Dividing PolynomialsЧтениеPolynomials and Synthetic DivisionВидеоFactoring PolynomialsЧтениеFinding Zeros of PolynomialsВидеоQuadratic Equations and ApplicationsВидеоPolynomial Division and FactoringЗадание

Graphing Polynomials

Graphing PolynomialsЧтениеGraphing PolynomialsВидеоGraphing PolynomialsЗадание

Assessment

Polynomial Functions and GraphsЗадание
03Analyzing Polynomials11 материалов

Rational and Irrational Roots

Rational and Irrational RootsЧтениеRational and Irrational RootsЗадание

Real and Imaginary Roots

Real and Imaginary RootsЧтениеReal and Imaginary RootsЗадание

Shape of a Polynomial Graph

Shape of a Polynomial GraphЧтениеShape of a Polynomial GraphЗадание

Polynomial Modeling

Modeling with Polynomial FunctionsЧтениеQuadratic Functions and ModelsВидеоPolynomial Functions of Higher DegreeВидеоPolynomial ModelingЗадание

Assessment

Analyzing PolynomialsЗадание