# Properties of Polynomial Roots

Properties Of Polynomial Roots

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

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

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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The reason why men enter into society, is the preservation of their property; and the end why they choose and authorize a legislative, is, that there may be laws made, and rules set, as guards and fences to the properties of all the members of the society: to limit the power, and moderate the dominion, of every part and member of the society.
John Locke (1632–1704)