Answer:
f(x) = x(x + 2)(x - 7)
Step-by-step explanation:
We have to write a possible polynomial function in the factored form with roots 0, - 2, and 7.
If the polynomial is of the variable x, then x = 0, x = - 2 and x = 7 are the roots of the polynomial function and the the factors of that will be (x - 0), (x + 2) and (x - 7).
Therefore, the possible polynomial function in factored form will be
f(x) = (x - 0)(x + 2)(x - 7)
⇒ f(x) = x(x + 2)(x - 7) (Answer)
