Answer:
-5, -2/3, 7, 3/4
Step-by-step explanation:
The solutions of S(x) = 0 satisfy one of the equations:
3x^2 + 17x + 10 = 0, x - 7 = 0, 4x - 3 = 0
The latter two are straightforward to solve:
x = 7 and x = 3/4
We now factor 3x^2 + 17x + 10 = 0
Note 10 = 5 * 2, 3 = 3 * 1 and 3 * 5 + 2 - 17.
So, we can factor it as (3x + 2) (x + 5) = 0
Thus, we also have solutions -2/3, -5.
