Determine whether the following statements about a quartic polynomial are true or false.

a$)$ It could fall to the left and rise to the right.

b$)$ It could have up to $4$ zeroes.

c$)$ At most it could have $3$ maximum $\frac{?}{\text{m}\text{i}\text{n}\text{i}m}($turns$)$

d$)$ It could have a zero with multiplicity of $3$

e$)$ It could open down

f$)$ Its constant cannot be zero