Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 3 - 3.4 - Zeroes of Polynomial Functions - 3.4 Exercises - Page 284: 67


$f(z)=(z-1+i)(z-1-i)$ The zeros: $z=1-i$ $z=1+i$

Work Step by Step

$f(z)=z^2-2z+2$ $f(z)=z^2-2z+1+1$ $f(z)=(z-1)^2+1$ $f(z)=(z-1)^2-i^2$ $f(z)=(z-1+i)(z-1-i)$ The zeros: $z-1+i=0$ $z=1-i$ $z-1-i=0$ $z=1+i$
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