Find all integers x NOT EQUAL TO 3 such that X-3|X^3-3  Choose the correct choice from the following choices
A) 1,2,3,4,5
B) -21,-9,-5,-3,-1,0,1,2,4,5,6,7,9,11,15,27
C) 1
D) 6
E) -1,0,1
Let x-3=t. Thus, t is an integer not equal to such'that t|(t+3)^2-3,   which is equivalent to the condition t|3^3-3, or t|24. Therefore, it is necessary   and sufficient for t to be an integer divisor of 24, hence t must be equal   to one of the numbers +or-1, +or-2, +or-3, +or-4, +or-6, +or-8, +or-12, +or-24. For x   = t+3 we obtain the values -21, -9, -5, -3, -1,0,1,2,4,5,6,7,   9, 11, 15, and 27.   Correct Answer -21,-9,-5,-3,-1,0,1,2,4,5,6,7,9,11,15,27 -21,-9,-5,-3,-1,0,1,2,4,5,6,7,9,11,15,27
<result>B</result>
Find all integers x NOT EQUAL TO 3 such that X-3|X^3-3