According to the Linear Factorization Theorem, a polynomial function will have the same number of factors as its degree. We also know that these factors will have the form (x - c) where c is a complex number.
In this problem, and without factoring the polynomial, we observe that the <u>polynomial function is a 5 degree function so we can know that it will have 5 linear factors. </u>
Answer: The correct graph that would depict the table correctly would be the first one listed. There is a sudden increase in the last day which would cause the graph to curve. Hope this helps you out! If you need anything else I'm here to help.