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

$- \frac{x^{4}}{5} + 5 x^{3} - 10$

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.

$- \frac{x^{4}}{5} \to 4$

$5 x^{3} \to 3$

$- 10 \to 0$

The largest exponent is the degree of the polynomial.

$4$

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

$- \frac{x^{4}}{5}$

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.

$- \frac{x^{4}}{5}$

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

$- \frac{1}{5}$

List the results.

Polynomial Degree: $4$

Leading Term: $- \frac{x^{4}}{5}$

Leading Coefficient: $- \frac{1}{5}$