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: 34

Answer

$x^{2}+7x+10=0$

Work Step by Step

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