Use the x-intercept method to find all real solutions of the equation. x^3-9x^2+23x-15=0

For this case we have the following function:
 x ^ 3-9x ^ 2 + 23x-15 = 0
 Rewriting we have:
 (x-5) * (x-3) * (x-1) = 0
 Therefore, the solutions are given by:
 Solution 1:
 x-5 = 0
 x = 5
 Solution 2:
 x-3 = 0
 x = 3
 Solution 3:
 x-1 = 0
 x = 1
 
 x = 5
 x = 3
 x = 1

The answer would be 7 cages