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: 53



Work Step by Step

$x=-2$ or $x=1$ or $ x=5\qquad$....get $0$'s on one side. $x+2=0$ or $x-1=0$ or $ x-5=0\qquad$....Use the principle of zero products (multiplying). The solutions of this equation are $-2,\ 1$ and $5$. $(x+2)(x-1)(x-5)=0\qquad$...use the FOIL method to multiply. $(x^{2}-x+2x-2)(x-5)=0\qquad$...combine like terms. $(x^{2}+x-2)(x-5)=0\qquad$...use the FOIL method to multiply. $ x^{3}-5x^{2}+x^{2}-5x-2x+10=0\qquad$...combine like terms. $x^{3}-4x^{2}-7x+10=0$
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