Complex Conjugate Root Theorem

(Theory)

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What is Complex conjugate root theorem?

In mathematics, the complex conjugate root theorem states that if P is a polynomial in one variable with real coefficients, and a + bi is a root of P with a and b real numbers, then its complex conjugate a − bi is also a root of P. It follows from this (and the fundamental theorem of algebra), that if the degree of a real polynomial is odd, it must have at least one real root. That fact can also be proven by using the intermediate value theorem.

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functionmathematical relationpolynomialpropositionstatementtheoremtheorems about polynomialtheorems in algebratheorems in complex analysistheory

Translations

Teorema da raiz complexa conjugada (pt)نظرية مرافق الجذر المركب (ar)

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