Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.5 - Zeros of Polynomial Functions - Exercise Set - Page 379: 87

Answer

False

Work Step by Step

The equation is, \[{{x}^{3}}+5{{x}^{2}}+6x+1=0\] We see that there is no sign change throughout the equation. The number of positive roots is equal to the number of sign changes in the equation. Hence, the given equation has no positive real roots. Therefore, the statement is false.
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