Find the Degree, Leading Term, and Leading Coefficient -6y^5z^5-(x^4)/3

$- 6 y^{5} z^{5} - \frac{x^{4}}{3}$

Step 1

The degree of a polynomial is the highest degree of its terms.

Identify the exponents on the variables in each term, and add them together to find the degree of each term.

$- 6 y^{5} z^{5} \to 10$

$- \frac{x^{4}}{3} \to 4$

The largest exponent is the degree of the polynomial.

$10$

Step 2

The leading term in a polynomial is the term with the highest degree.

$- 6 y^{5} z^{5}$

Step 3

The leading coefficient of a polynomial is the coefficient of the leading term.

The leading term in a polynomial is the term with the highest degree.

$- 6 y^{5} z^{5}$

The leading coefficient in a polynomial is the coefficient of the leading term.

$- 6$

Step 4

List the results.

Polynomial Degree: $10$

Leading Term: $- 6 y^{5} z^{5}$

Leading Coefficient: $- 6$