To solve this question, we use the factor theorem, and using it, the polynomial function is:

------------------------------
The factor theorem means that if k is a root of f(x), f(k) = 0.
Thus, applying the factor theorem for this question, we have to choose the function for which: 
------------------------------
Function 1:

Testing the values:



Thus, since all three conditions are satisfied,
is the polynomial function.
A similar question is given at brainly.com/question/11378552