What are all the possible values of b for which  is it factorable using only integer coefficients and constant?

The correct answer is: {-23,-10,-5,-2,2,5,10,23} are all possible values of b.

Ans:-  {-23,-10,-5,-2,2,5,10,23} are all possible values of b.
Given,  is it factorable  so be must be sum of factors of (-8)(3)
Factors of -24 are
(1,-24)  b can be -24 + 1 = -23
(2,-12)  b can be -12 + 2 = -10
(3,-8)  b can be -8 + 3 = -5
(4,-6)  b can be 4 - 6 = -2
(6,-4)  b can be 6 - 4 = 2
(8,-3)  b can be 8 - 3 = 5
(12,-2)  b can be 12 - 2 = 10
(24,-1)  b can be 24 - 1 = 23
So, there are 8 possible values of b they are {-23, -10, -5, -2, 2, 5, 10, 23}