Answer: 2) Quartic.
Step-by-step explanation:
1. To classify the given polynomial by degree, you must see the exponent of each term. The highest exponent is the degree of the polynomial.
2. As you can see, the highest exponent of the polynomial [tex]-2x^{4}-x^{3}+8x^{2}=12[/tex] is 4. Therefore, it is a polynomial of degree 4.
3. Then, the answer is the second option: quartic.
