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 - Quiz for Lessons 5.7-5.9 - Page 399: 3

Answer

$f(x)=x^3+3x^2-6x-8$

Work Step by Step

Using the Factor Theorem, if $x=a$ is a factor, then $(x-a)$ is a factor of $f(x)$. Hence here $f(x)=(x+4)(x+1)(x-2)=(x^2+5x+4)(x-2)=x^3+5x^2+4x-2x^2-10x-8=x^3+3x^2-6x-8$
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