Write a possible polynomial function in factored form with roots 0, - 2, and 7.

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)