Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 11 - Quadratic Functions and Equations - 11.3 Studying Solutions of Quadratic Equations - 11.3 Exercise Set - Page 718: 55

Answer

$x^{3}-2x^{2}-3x=0$

Work Step by Step

$x=-1$ or $x=0$ or $ x=3\qquad$....get $0$'s on one side. $x+1=0$ or $x=0$ or $ x-3=0\qquad$....Use the principle of zero products (multiplying). The solutions of this equation are $-1,\ 0$ and $3$. $(x+1)x(x-3)=0\qquad$...use the FOIL method to multiply. $(x^{2}+x)(x-3)=0\qquad$...use the FOIL method to multiply. $ x^{3}-3x^{2}+x^{2}-3x=0\qquad$...combine like terms. $x^{3}-2x^{2}-3x=0$
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