Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 5 Polynomials and Polynomial Functions - 5.9 Write Polynomial Functions and Models - 5.9 Exercises - Skill Practice - Page 397: 11



Work Step by Step

We need to plug in $x=1$ and $f(x)=3$ in order to get the correct answer. Here, we have $f(x)=a(x+1)(x-2)(x-5)$ $3=a(1+1)(1-2)(1-5)$ or, $3=8a$ This gives: $a=\dfrac{3}{8}$ Thus, we have $f(x)=\dfrac{3}{8}(x+1)(x-2)(x-5)$
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