Properties of Polynomial Roots

Properties Of Polynomial Roots

In mathematics, a polynomial function is a function of the form

p(x) = a_0 + a_1 x + \cdots + a_n x^n, \quad x\in \mathbb{C}

where the coefficients are complex numbers and . The fundamental theorem of algebra states that polynomial p has n roots. The aim of this page is to list various properties of these roots.

Read more about Properties Of Polynomial Roots:  Continuous Dependence of Coefficients, Complex Conjugate Root Theorem, Radical Conjugate Roots, Bounds On Positive Polynomial Roots, Gauss–Lucas Theorem, Polynomials With Real Roots, Statistical Repartition of The Roots, See Also

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    “A drop of water has the properties of the sea, but cannot exhibit a storm. There is beauty of a concert, as well as of a flute; strength of a host, as well as of a hero.”
    —Ralph Waldo Emerson (1803–1882)

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