Answer:
x = 0, x = 1, x = - 3
Step-by-step explanation:
To find the zeros, let f(x) = 0 , that is
(x - 1)(x(x + 1) + 2x) = 0 ← distribute and simplify parenthesis
(x - 1)(x² + x + 2x) = 0
(x - 1)(x² + 3x) = 0 ← factor out x from the second parenthesis
x(x - 1)(x + 3) = 0
Equate each factor to zero and solve for x
x = 0
x - 1 = 0 ⇒ x = 1
x + 3 = 0 ⇒ x = - 3
