if (x-m) is factor of x^3 -5x^2+ (m+6)x -24 and m is whole number than find the value of m

x - m divides the given equation exactly
x = m is zero of equation
m^2 - (m+2)m + 6 = 0
m^2 - m^2 - 2m + 6 = 0
-2m = -6 m
       = 3 

So the value of m is 3 .