Find the Degree, Leading Term, and Leading Coefficient 4w^11-w^12

$4 w^{11} - w^{12}$

Step 1

Reorder $4 w^{11}$ and $- w^{12}$ .

$- w^{12} + 4 w^{11}$

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.

$- w^{12} \to 12$

$4 w^{11} \to 11$

The largest exponent is the degree of the polynomial.

$12$

Step 3

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

$- w^{12}$

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.

$- w^{12}$

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

$- 1$

Step 5

List the results.

Polynomial Degree: $12$

Leading Term: $- w^{12}$

Leading Coefficient: $- 1$