## College Algebra (10th Edition)

LCM = $(x-2)(x+2)(x+1)$
Step 1: Factor each polynomial completely. $x^{2}-4$ = a difference of squares =$(x-2)(x+2)$ $x^{2}-x-2 =\quad$ ... we want factors of -2 whose sum is -1 $=(x-2)(x+1)$ Step 2: The LCM is the product of each of these factors raised to a power equal to the greatest number of times that the factor occurs in the polynomials. LCM = $(x-2)(x+2)(x+1)$