It is a polynomial. 5th degree (incomplete) polynomial. Binomial.
1) Considering the expression:
[tex]-4c^5+c^3[/tex]2) And the Polynomial definition as:
[tex]P(x)=a_nx^n+a^{}_{n-1}x^{n-1}+.\ldots+a_0[/tex]We can state that this is an incomplete polynomial.
About the degree, it is a 5th-degree polynomial given by its highest exponent.
Binomial since it has two terms.
3) Hence the answer is an incomplete polynomial, 5th degree.