Final answer:
The given polynomial (6x^2−5x^8) is a binomial with a degree of 8.
Step-by-step explanation:
The polynomial given is (6x^2−5x^8). To find the degree of this polynomial, you look for the highest power of the variable x. In this case, the highest power of x is 8, so the degree of the polynomial is 8. Next, we determine whether it is a monomial, binomial, or trinomial. This polynomial has two terms, 6x^2 and −5x^8, so it is a binomial.