2011•arXiv (Cornell University)Open access

Solving Polynomial Equations from Complex Numbers

R. S. Vieira

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Abstract

We show that a polynomial equation of degree less than 5 and with real parameters can be solved by regarding the variable in which the polynomial depends as a complex variable. For do it so, we only have to separate the real and imaginary parts of the resultant polynomial and solve them separately.

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We show that a polynomial equation of degree less than 5 and with real parameters can be solved by regarding the variable in which the polynomial depends as a complex variable. For do it so, we only have to separate the real and imaginary parts of the resultant polynomial and solve them separately.

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Available abstract

We show that a polynomial equation of degree less than 5 and with real parameters can be solved by regarding the variable in which the polynomial depends as a complex variable. For do it so, we only have to separate the real and imaginary parts of the resultant polynomial and solve them separately.

Key concepts: Polynomial, Variable (mathematics), Matrix polynomial, Wilkinson's polynomial, Reciprocal polynomial, Mathematics, Square-free polynomial, Degree of a polynomial

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