Answer
$x^4-x^3+7x^2-9x-18$
Work Step by Step
We need to write down the polynomial $f(x)$ in factored form.
$f(x)=(x+1)(x-2)(x-3i)(x+3i)$
$=(x^2+x-2x-2)(x^2+9)$
$=x^4+9x^2-x^3-9x-2x^2-18$
$=x^4-x^3+7x^2-9x-18$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
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 - Skill Practice - Page 384: 26
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