## Introductory Algebra for College Students (7th Edition)

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