What is incorrect in this two problems.

Problem 2:Joe factors the trinomialx^2 -5x -6 as (x-3)(x-2)

Problem 3:The following was a test question:Factor:x^2-2x-8 .Lisa's paper had the following:

x^2-2x-8

(x-4)(x+2)

x-4=0, x+2=0

x=4, x=-2