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Lecture
Completing the Square in Quadratic Polynomials
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Related lectures (29)
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Examples: Polynomial Factorization
Covers polynomial factorization examples and polynomial division in complex numbers.
Complex Roots and Polynomials
Explores complex roots, polynomials, and factorizations, including roots of unity and the fundamental theorem of algebra.
Complex Eigenvalues Appendix
Covers the factorization of polynomials with complex coefficients and diagonalizability of matrices.
The Fundamental Theorem of Algebra
Covers the fundamental theorem of algebra, explaining how every polynomial has complex roots.
Complex Polynomials and Factorization
Explores complex polynomials, factorization, roots of equations, equilateral triangles, and infinite sums in sequences.
RST Regulator: Theory and Implementation
Covers the theory and implementation of RST regulators, focusing on factorization of zeros and matrix writing.
Integer Factorization: Quadratic Sieve
Covers the Quadratic Sieve method for integer factorization, emphasizing the importance of choosing the right parameters for efficient factorization.
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Covers the design of polynomial regulators using the RST method.
Algebra: Quadratic Trinomial
Explores quadratic trinomials, absolute values, Vieta's formulas, and graphical representation of equations.
Integration: Simple Elements
Covers the integration of simple elements using various techniques to solve integration problems.