Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 3 - Quadratic Functions - 3.1 Introduction to the Family of Quadratic Functions - Exercises and Problems for Section 3.1 - Skill Refresher - Page 120: S4



Work Step by Step

To factor, find two numbers that can be multiplied to create $2$ and added to create $3$. In this case, the numbers are $2$ and $1$. Thus, the factorization is $(x+2)(x+1)$. Check by FOILing out the expression. $$(x+2)(x+1)=x^2+2x+x+2=x^2+3x+2$$
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