Answer
$f(x)=(x+4)(x+1)(x-2)(x-3)=x^4-3x^3-15x^2+19x+30.$
Work Step by Step
We are given that the degree is 4, and the zeros are -3, -1, 2 and 5, hence a good function is $f(x)=(x+4)(x+1)(x-2)(x-3)=x^4-3x^3-15x^2+19x+30.$
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter 5 - Section 5.1 - Polynomial Functions and Models - 5.1 Assess Your Understanding - Page 339: 48
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