what is the degree of the polynomial 6x+2x^2-6-2x^4?

The largest exponent is 4 from the term -2x^4. Therefore, 4 is the degree of the polynomial.

Fourth order or degree.

The order of a polynomial is the highest order of any term in the polynomial. The order of a term is the sum of the exponents of the variables in that term. In this case, the term with highest order is "2x^4" since the sum of the exponents of the variables in that term is 4 which is greater than that for any other term. Therefore the order of the polynomial is 4th order.

(degree and order are synonymous in this context)

4

Its 4.