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In mathematics, a univariate polynomial is an expression of the form where the ai belong to some field, which, in this article, is always the field of the complex numbers. The natural number n is known as the degree of the polynomial. In the following, p will be used to represent the polynomial, so we have A root of the polynomial p is a solution of the equation p = 0: that is, a complex number a such that p(a) = 0. The fundamental theorem of algebra combined with the factor theoremstates that the polynomial p has n roots in the complex plane, if they are counted with their multiplicities.

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• Properties of polynomial roots
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• In mathematics, a univariate polynomial is an expression of the form where the ai belong to some field, which, in this article, is always the field of the complex numbers. The natural number n is known as the degree of the polynomial. In the following, p will be used to represent the polynomial, so we have A root of the polynomial p is a solution of the equation p = 0: that is, a complex number a such that p(a) = 0. The fundamental theorem of algebra combined with the factor theoremstates that the polynomial p has n roots in the complex plane, if they are counted with their multiplicities.
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• In mathematics, a univariate polynomial is an expression of the form where the ai belong to some field, which, in this article, is always the field of the complex numbers. The natural number n is known as the degree of the polynomial. In the following, p will be used to represent the polynomial, so we have A root of the polynomial p is a solution of the equation p = 0: that is, a complex number a such that p(a) = 0. The fundamental theorem of algebra combined with the factor theoremstates that the polynomial p has n roots in the complex plane, if they are counted with their multiplicities. This article concerns various properties of the roots of p, including their location in the complex plane.
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• January 2015
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