Find the Degree, Leading Term, and Leading Coefficient -(w^4)/6-3w^2+10w^5

$- \frac{w^{4}}{6} - 3 w^{2} + 10 w^{5}$

Simplify the polynomial, then reorder it left to right starting with the highest degree term.

Move $- 3 w^{2}$ .

$- \frac{w^{4}}{6} + 10 w^{5} - 3 w^{2}$

Reorder $- \frac{w^{4}}{6}$ and $10 w^{5}$ .

$10 w^{5} - \frac{w^{4}}{6} - 3 w^{2}$

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.

$10 w^{5} \to 5$

$- \frac{w^{4}}{6} \to 4$

$- 3 w^{2} \to 2$

The largest exponent is the degree of the polynomial.

$5$

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

$10 w^{5}$

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.

$10 w^{5}$

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

$10$

List the results.

Polynomial Degree: $5$

Leading Term: $10 w^{5}$

Leading Coefficient: $10$