State whether each function is a polynomial. If yes, state the degree; if not, type "DNE"

a) Is  $\displaystyle -{3}+{4}{x}-{3.5}{x}^{{2}}+\frac{{5}}{{9}}{x}^{{3}}$  Polynomial? ? Yes No Degree:

b) Is $\displaystyle {5}{p}^{{4}}+{3.5}{p}-\frac{{4}}{{p}^{{2}}}+{16}$ Polynomial? ? No Yes Degree:

c) Is $\displaystyle {4}\sqrt{{{x}^{{3}}}}+{12}$ Polynomial? ? No Yes Degree:

d) Is $\displaystyle {x}^{{2}}\sqrt{{{15}}}-{x}-{4}$ Polynomial? ? No Yes Degree: