Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 3 - Polynomial and Rational Functions - Section 3.1 Polynomial Functions and Models - 3.1 Assess Your Understanding - Page 209: 68

Answer

$y=\frac{1}{2}(x+1)(x-1)(x-2)$

Work Step by Step

Step 1. Find zeros $x=-1,1,2$ (multiplicity 1). Step 2. Write a general form $y=a(x+1)(x-1)(x-2), a\lt0$. Step 3. Use point $(0,-1)$, $-1=a(0+1)(0-1)(0-2)$, we have $a=\frac{1}{2}$ Step 4. Provide the answer $y=\frac{1}{2}(x+1)(x-1)(x-2)$
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