## College Algebra (10th Edition)

LCM = $(x-4)^{2}(x+3)$
Step 1: Factor each polynomial completely. For $x^{2}+bx+c$, we search for factors of c whose sum is b: $x^{2}-x-12...\qquad$...-4 and +3 $=(x-4)(x+3)$ $x^{2}-8x+16=...\qquad$...-4 and -4 $=(x-4)^{2}$ 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 = $(x-4)^{2}(x+3)$