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 - Guided Practice for Examples 1 and 2 - Page 394: 1



Work Step by Step

If the function has x-intercepts $a,b,c,$ then it has the form $f(x)=k(x-a)(x-b)(x-c)$. Here the x-intercepts are $-4,2,5$, hence $f(x)=k(x+4)(x-2)(x-5)$. The function also goes through $(0,10)$, hence: $10=k(4)(-2)(-5)=40k\\k=0.25$ Hence $f(x)=0.25(x+4)(x-2)(x-5)$
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.