Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 6 - Section 6.2 - Factoring Trinomials Whose Leading Coefficient is 1 - Exercise Set - Page 437: 101

Answer

$x(x+1)(x+2)$, a product of three consecucutive integers, of which $x$ is the smallest.

Work Step by Step

First, note that gcf = $x. $Factor it out. $...=x(x^{2}+3x+2)$ ... now, search for integer factors of 2 whose sum is 3... ... and find 1 and 2, $=x(x+1)(x+2)$ If x is an integer, this is a product of three consecucutive integers, of which $x$ is the smallest.
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