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Viète Relations: Polynomial Roots and Coefficients
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Second Order Equations: Polynomial, Trigonometric, and Exponential Cases
Explores solving second-order differential equations with various forcing functions and characteristic roots.
Characteristic Equation: Examples
Demonstrates solving linear equations with characteristic polynomial method, yielding real or complex solutions.
Polynomials: Roots and Factorization
Explores polynomial roots, factorization, and the Euclidean algorithm in depth.
Polynomial Factorization: Field Approach
Covers the factorization of polynomials over a field, including division with remainder and common divisors.
Complex Numbers: Exponential Formulas
Covers the activation process of a home connection and explores exponential formulas, Euler's formula, and complex equations.
Polynomials: Theory and Operations
Covers the theory and operations related to polynomials, including ideals, minimal polynomials, irreducibility, and factorization.