Answer
False.
Work Step by Step
We know that the first term of the polynomial is ${{a}_{n}}{{x}^{n}},n\text{ odd and }{{a}_{n}}<0$. So, for n to be odd and ${{a}_{n}}<0$ , the value of the expression ${{a}_{n}}{{x}^{n}}$ will always be a negative number with an odd power, which again results in a negative number. Thus, the polynomial should be ideally suitable to describe the phenomena that have negative values over unlimited periods of time.