Let's go through the problems one by one:

1. Find the degree of the term $-4x^3$:

   • The degree of a term is the exponent of the variable $x$.
   • For the term $-4x^3$, the exponent of $x$ is $3$.
   • Degree: 3.

2. Find the degree of the term $3x^5$:

   • Here, the exponent of $x$ is $5$.
   • Degree: 5.

3. Find the degree of the term $-3$:

   • This term does not contain a variable $x$, so it is considered a constant.
   • The degree of a constant term is $0$.
   • Degree: 0.

4. Find the degree of the term $-2x^6$:

   • The exponent of $x$ is $6$.
   • Degree: 6.

5. Find the degree of the polynomial $-4x^3 + 3x^5 - 3 - 2x^6$:

   • The degree of a polynomial is the highest degree among its terms.
   • The degrees of the terms are $3$, $5$, $0$, and $6$, so the highest degree is $6$.
   • Degree of the polynomial: 6.

Would you like further details or explanations for any of these? Here are 5 related questions for practice:

1. What is the degree of the polynomial $2x^4 - 7x^2 + 5$?
2. If a term is $5x^9$, what is its degree?
3. What is the degree of the term $-7y^2$?
4. Can a constant term have a degree higher than 0?
5. How does the degree of a polynomial help in determining its end behavior?

Tip: The degree of a polynomial tells you the highest power of the variable, which is critical in understanding its general shape and behavior.