Identify the polynomial with zeros at x = 0, x = 2, and x = −3 (with leading coefficient 1).
A f(x) = x(x − 2)(x + 3)
B f(x) = (x − 2)(x + 3)
C f(x) = x(x + 2)(x − 3)
D f(x) = x²(x − 2)(x + 3)
Explanation
Each zero c contributes a factor (x − c). Zeros 0, 2, −3 → factors x, (x − 2), (x + 3).