Complex Roots: Conjugate Pairs and Quadratic Equations

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Explores polynomials with real coefficients, complex roots, and sequences' properties.

Explores complex roots, polynomials, and factorizations, including roots of unity and the fundamental theorem of algebra.

Covers the fundamental theorem of algebra, explaining how every polynomial has complex roots.

Explores complex polynomials, factorization, roots of equations, equilateral triangles, and infinite sums in sequences.

Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.

Covers irreducible polynomials, fundamental theorem of algebra, and factorization in complex and real polynomials.

Covers the definition of quadratic forms in R^n with examples in R^2 and R^3.

Discusses quadratic forms, matrix diagonalization, and their applications in optimization problems.

Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.