Certain representation of a real polynomial
Commun. Korean Math. Soc. 2006 Vol. 21, No. 4, 675-678
Published online December 1, 2006
Young Joon Ahn, Seon-Hong Kim
Chosun University, Sookmyung Women's University
Abstract : We show that every real polynomial of degree $n$ can be represented by the sum of two real polynomials of degree $n$, each having only real zeros. As an example of this, we consider a real polynomial with even degree whose all zeros lie on the imaginary axes except the origin.
Keywords : polynomials, zeros
MSC numbers : Primary 30C15; Secondary 26C10
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