Find the Degree, Leading Term, and Leading Coefficient -10-1/6x^2

$- 10 - \frac{1}{6} x^{2}$

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

Combine $x^{2}$ and $\frac{1}{6}$ .

$- 10 - \frac{x^{2}}{6}$

Reorder $- 10$ and $- \frac{x^{2}}{6}$ .

$- \frac{x^{2}}{6} - 10$

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.

$- \frac{x^{2}}{6} \to 2$

$- 10 \to 0$

The largest exponent is the degree of the polynomial.

$2$

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

$- \frac{x^{2}}{6}$

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.

$- \frac{x^{2}}{6}$

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

$- \frac{1}{6}$

List the results.

Polynomial Degree: $2$

Leading Term: $- \frac{x^{2}}{6}$

Leading Coefficient: $- \frac{1}{6}$