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- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_372%3A_College_Algebra_for_Calculus/03%3A_Polynomial_Functions/3.04%3A_Complex_Zeros_and_the_Fundamental_Theorem_of_AlgebraThis section discusses complex zeros of polynomials and the Fundamental Theorem of Algebra, which states that every non-constant polynomial has at least one complex root. It explains how to find compl...This section discusses complex zeros of polynomials and the Fundamental Theorem of Algebra, which states that every non-constant polynomial has at least one complex root. It explains how to find complex roots using techniques like synthetic division and the quadratic formula, and how to express polynomials as products of linear factors over the complex numbers. The section also emphasizes the relationship between real and complex zeros.
- https://math.libretexts.org/Courses/Lorain_County_Community_College/Book%3A_Precalculus_Jeffy_Edits_3.75/03%3A_Polynomial_Functions/3.04%3A_Complex_Zeros_and_the_Fundamental_Theorem_of_AlgebraPreviously, we were focused on finding the real zeros of a polynomial function. In this section, we expand our horizons and look for the non-real zeros as well. The requires introducing the imaginary ...Previously, we were focused on finding the real zeros of a polynomial function. In this section, we expand our horizons and look for the non-real zeros as well. The requires introducing the imaginary unit, i, that while not a real number, plays along well with real numbers, and acts very much like any other radical expression
- https://math.libretexts.org/Bookshelves/Precalculus/Precalculus_(Stitz-Zeager)/03%3A_Polynomial_Functions/3.04%3A_Complex_Zeros_and_the_Fundamental_Theorem_of_AlgebraPreviously, we were focused on finding the real zeros of a polynomial function. In this section, we expand our horizons and look for the non-real zeros as well. The requires introducing the imaginary ...Previously, we were focused on finding the real zeros of a polynomial function. In this section, we expand our horizons and look for the non-real zeros as well. The requires introducing the imaginary unit, i, that while not a real number, plays along well with real numbers, and acts very much like any other radical expression
- https://math.libretexts.org/Courses/Lorain_County_Community_College/Book%3A_Precalculus_(Stitz-Zeager)_-_Jen_Test_Copy/03%3A_Polynomial_Functions/3.04%3A_Complex_Zeros_and_the_Fundamental_Theorem_of_AlgebraPreviously, we were focused on finding the real zeros of a polynomial function. In this section, we expand our horizons and look for the non-real zeros as well. The requires introducing the imaginary ...Previously, we were focused on finding the real zeros of a polynomial function. In this section, we expand our horizons and look for the non-real zeros as well. The requires introducing the imaginary unit, i, that while not a real number, plays along well with real numbers, and acts very much like any other radical expression
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_370%3A_Precalculus/03%3A_Polynomial_Functions/3.04%3A_Complex_Zeros_and_the_Fundamental_Theorem_of_AlgebraPreviously, we were focused on finding the real zeros of a polynomial function. In this section, we expand our horizons and look for the non-real zeros as well. The requires introducing the imaginary ...Previously, we were focused on finding the real zeros of a polynomial function. In this section, we expand our horizons and look for the non-real zeros as well. The requires introducing the imaginary unit, i, that while not a real number, plays along well with real numbers, and acts very much like any other radical expression