Using the Factor Theorem, the polynomial is given by: 
- The graph is sketched at the end of the answer.
The <em>Factor Theorem</em> states that a polynomial function with roots
is given by:
In which a is the leading coefficient.
In this problem, the roots are:
- Root of -4 with multiplicity 4, hence
.
- Root of -1 with multiplicity 3, hence
.
- Root of 5 with multiplicity 6, hence

Then:


- Positive leading coefficient, hence
.
- 13th degree, so it is odd.
Then:

At the end of the answer, an sketch of the graph is given.
For more on the Factor Theorem, you can check brainly.com/question/24380382