From the problem, the given polynomial is :
[tex]-8x-2x^3-7x^2+3-8x^4[/tex]
Now you can determine the first term up to fifth term.
Coefficients are numbers attached to the variables.
First term : -8x
The degree is 1 and the coefficient is -8
Second term : -2x^3
The degree is 3 and the coefficient is -2
Third term : -7x^2
The degree is 2 and the coefficient is -7
Fourth term : 3
The degree is 0 and the coefficient is 3
Fifth term : 3
The degree is 4 and the coefficient is -8
Leading term is the term with the highest degree, in this case, the leading term is -8x^4
Leading coefficient is the coefficient of the leading term,
so the leading coefficient is -8
The degree of the leading term is 4
The degree of the polynomial depends on the degree of the leading term,
therefore, the degree is 4