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Polynomials with Real Roots
Published online by Cambridge University Press: 20 November 2018
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In a recent issue of this Bulletin a problem equivalent to the following is proposed by Moser and Pounder [1]:
If ax2+bx+c is a polynomial with real coefficients and real roots then a+b+c ≤9/4 max (a, b, c).
The object of this note is to prove the following theorems which generalise this result.
Theorem 1. Let αn be the smallest constant such that n for all polynomials
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- Copyright © Canadian Mathematical Society 1962
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