Find the Degree, Leading Term, and Leading Coefficient -(x^3)/6-10+x

$- \frac{x^{3}}{6} - 10 + x$

Step 1

Move $- 10$ .

$- \frac{x^{3}}{6} + x - 10$

Step 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.

$- \frac{x^{3}}{6} \to 3$

$x \to 1$

$- 10 \to 0$

The largest exponent is the degree of the polynomial.

$3$

Step 3

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

$- \frac{x^{3}}{6}$

Step 4

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.

$- \frac{x^{3}}{6}$

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

$- \frac{1}{6}$

Step 5

List the results.

Polynomial Degree: $3$

Leading Term: $- \frac{x^{3}}{6}$

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