The degree of the term [tex]-4x^6[/tex] is 6.

The degree of the term [tex]6x^8[/tex] is [tex]\square[/tex] 8.

The degree of the term [tex]-2[/tex] is [tex]\square[/tex].

The degree of the term [tex]-x^9[/tex] is 9.

Enter an integer or decimal number.

The degree of the polynomial [tex]-4x^6 + 6x^8 - 2 - x^9[/tex] is [tex]\square[/tex].

To determine the degrees of the given terms and the polynomial, let's look at each part step-by-step:

1. Degree of the term [tex]$-4x^6$[/tex]:
- The term is [tex]$-4x^6$[/tex].
- The degree of a term with a variable is determined by the exponent of the variable.
- Here, the exponent of [tex]$x$[/tex] is 6.
- So, the degree of the term [tex]$-4x^6$[/tex] is 6.

2. Degree of the term [tex]$6x^8$[/tex]:
- The term is [tex]$6x^8$[/tex].
- The exponent of [tex]$x$[/tex] is 8.
- Therefore, the degree of the term [tex]$6x^8$[/tex] is 8.

3. Degree of the term [tex]$-2$[/tex]:
- The term [tex]$-2$[/tex] is a constant term (it doesn't have a variable).
- The degree of a constant term is 0.
- Thus, the degree of the term [tex]$-2$[/tex] is 0.

4. Degree of the term [tex]$-x^9$[/tex]:
- The term is [tex]$-x^9$[/tex].
- The exponent of [tex]$x$[/tex] is 9.
- Thus, the degree of the term [tex]$-x^9$[/tex] is 9.

5. Degree of the polynomial [tex]$-4x^6 + 6x^8 - 2 - x^9$[/tex]:
- A polynomial's degree is determined by the term with the highest degree.
- We have:
- [tex]$-4x^6$[/tex] with degree 6,
- [tex]$6x^8$[/tex] with degree 8,
- [tex]$-2$[/tex] with degree 0,
- [tex]$-x^9$[/tex] with degree 9.
- Among these, [tex]$-x^9$[/tex] has the highest degree, which is 9.
- Therefore, the degree of the entire polynomial [tex]$-4x^6 + 6x^8 - 2 - x^9$[/tex] is 9.

I hope this helps you understand how to determine the degrees of terms and polynomials!