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: 9



Work Step by Step

We need to plug in $x=1$ and $y=-12$ in order to get the correct answer. Here, we have $y=a(x+5)(x)(x-6)$ $-12=a(1+5)(1)(1-6)$ or, $-12a=30a$ This gives: $a=\dfrac{2}{5}$ Thus, we have $f(x)=\dfrac{2}{5}x(x+5)(x-6)$
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