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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
