Precalculus (6th Edition) Blitzer

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

Chapter 2 - Review Exercises - Page 431: 49


$ x= \pm 1, \pm 5$ or $ x=-1,1,-5,5$

Work Step by Step

The Rational Root Test is defined as follows: When a polynomial $ f(x)=a_nx^n+a_{n-1} x^{n-1} +....+a_2 x^2+a_1x+a_0$ has integer coefficients, then every rational zero of $ f $ has the form $\dfrac{m}{n}$ where, $ m $ and $ n $ have no common factors other than $1$ and $ m $ is a factor of the constant term $ a_0$ and $ n $ is a factor of the leading co-efficient term $ a_n $. So, $ f(x)=x^4-6x^3+14x^2-14x+5$ has possible rational roots: $ x= \pm 1, \pm 5$ or $ x=-1,1,-5,5$
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