Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 3 - Polynomial and Rational Functions - Quiz - Page 381: 5

Answer

$x^4-7x^3+10x^2+26x-60$

Work Step by Step

Step 1. Since $3-i$ is a zero, we know $3+i$ is also a zero. Step 2. The function of least degree with the given zeros can be written as $f(x)=(x+2)(x-3)(x-3+i)(x-3-i)=(x^2-x-6)(x^2-6x+10)=x^4-7x^3+10x^2+26x-60$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.