Answer:
x = -1, 0, 2
Explanation:
p(x) = 5x³ − 5x² − 10x
Factor the greatest common factor:
p(x) = 5x (x² − x − 2)
Now factor the quadratic. You can use the AC method, the quadratic formula, the rational root test, or trial and error.
p(x) = 5x (x − 2) (x + 1)
Finally, set each factor equal to 0 and solve for x.
5x = 0 → x = 0
x − 2 = 0 → x = 2
x + 1 = 0 → x = -1