Classify -2x^4-x^3+8x^2=12 by degree

quartic equation

Explanation:
The degree of the equation is based on the highest power present in the equation.
The given equation is:
-2x⁴ - x³ + 8x² = 12

We can note that the highest power is 4. This means that the given equation is of 4th degree.

Now, 4th degree equations are also known as quartic equations.
Therefore, the answer would be "quartic"

Hope this helps :)