Answer
degree = $6$
Work Step by Step
The degree of a polynomial is equal to the degree of the leading term.
The terms of the given polynomial have the following degrees:
$x^2$ - degree is 2
$-10$ - degree is 0
$5x$ - degree is 1
$-8x^6$ - degree is 6
The leading term is $-8x^6$.
The degree of this term is $6$.
Thus, the degree of the given polynomial is $6$.