What you should see in this case is that you have a third degree polynomial because you have three different zeros.
We have then that the generic form factorized for a polynomial of third degree is:
(x-a) * (x-b) * (x-c)
where,
a, b, c: real numbers.
For our case:
(x + 10) * (x + 4) * (x-1)
answer:
a polynomial function in factored form is
(x + 10) * (x + 4) * (x-1)