Final answer:
The correct polynomial function in factored form with roots 0, -5, and 3 is f(x)=x(x+5)(x−3).
Step-by-step explanation:
The correct answer is a) f(x)=x(x+5)(x−3). To determine the factored form of the polynomial with roots 0, -5, and 3, we set each root equal to zero and express it as a factor. So, the factored form would be f(x) = x(x+5)(x−3).