Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 5 Polynomials and Polynomial Functions - 5.6 Find Rational Zeroes - 5.6 Exercises - Skill Practice - Page 374: 8

Answer

$\pm1, \pm2, \pm3,\pm 6, \pm 7,\pm 14,\pm 21,\pm 42, \pm \frac{1}{3}, \pm \frac{2}{3}, \pm \frac{7}{3}, \pm \frac{14}{3}$

Work Step by Step

Given: $f(x)=3x^4+5x^3-3x+42$ Factors of the constant term: $\pm 1, \pm 2, \pm 3, \pm 6, \pm 7,\pm 14,\pm 21,\pm 42$ Factors of the leading coefficient: $\pm 1, \pm 3$ Possible rational zeros: $\pm \frac{1}{1}, \pm \frac{2}{1}, \pm \frac{3}{1}, \pm \frac{6}{1}, \pm \frac{7}{1}, \pm \frac{14}{1}, \pm \frac{21}{1}, \pm \frac{42}{1}, \pm \frac{1}{3}, \pm \frac{2}{3}, \pm \frac{3}{3}, \pm \frac{6}{3}, \pm \frac{7}{3}, \pm \frac{14}{3}, \pm \frac{21}{3}, \pm \frac{42}{3},$ Simplified list of possible zeros: $\pm1, \pm2, \pm3,\pm 6, \pm 7,\pm 14,\pm 21,\pm 42, \pm \frac{1}{3}, \pm \frac{2}{3}, \pm \frac{7}{3}, \pm \frac{14}{3}$
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