Name the polynomial - 2x^4-x^3*8x^2-12 by degree

see below

Step-by-step explanation:

-2x^4-x^3+8x^2-12

First list by highest power to lowest power

The highest power is x^4 so this is a 4th degree polynomial or a quartic polynomial

If you really mean the multiply sign

-2x^4-x^3*8x^2-12

-2x^4 - 8x^5 - 12

-8x^5 - 2x^4 - 12

This would be a 5th degree or quintic