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 375: 23

Answer

Answer C

Work Step by Step

Given: $f(x)=2x^4-5x^3+10x^2-9$ The leading coefficient is $\pm 1,\pm 2$ The constant term is $\pm 1,\pm3,\pm 9$ The possible rational zeros are: $\pm \frac{1}{1},\pm \frac{1}{2},\pm \frac{3}{1},\pm \frac{3}{2},\pm \frac{9}{1},\pm \frac{9}{2},\pm 1,\pm \frac{1}{2},\pm 3,\pm \frac{3}{2},\pm 9,\pm\frac{9}{2},...$ We can notice that $\frac{5}{2}$ cannot be a possible zero of $f$. Hence, the answer is C.
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