Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 3 - Section 3.4 - Real Zeros of Polynomials - 3.4 Exercises - Page 284: 84

Answer

$-1,0,\frac{13\pm\sqrt {29}}{12}$

Work Step by Step

$P(x)=x(6x^3-7x^2-8x+5)$ Test $-1, P(-1)=(-1)(-6-7+8+5)=0$ Use synthetic division as shown: $P(x)=x(x+1)(6x^2-13x+5)$ The zeros are $-1,0,\frac{13\pm\sqrt {29}}{12}$
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