Algebra 2 (1st Edition)

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

Chapter 5 Polynomials and Polynomial Functions - 5.7 Apply the Fundamental Theorem of Algebra - 5.7 Exercises - Mixed Review - Page 386: 77


$y=-2 (x+5)(x+1)$

Work Step by Step

Here, we find the x-intercepts are $-5$ and $-1$. Thus, the function is: $y=a (x+5)(x+1)$ Since $(-2,6)$ is on the graph of this function, we have $6=a (-2+5)(-2+1)$ This gives: $6=3a \implies a=-2$ Hence, the required function is: $y=-2 (x+5)(x+1)$
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