Find the Degree, Leading Term, and Leading Coefficient -8y^13-y^8+6+7y^11

$- 8 y^{13} - y^{8} + 6 + 7 y^{11}$

Step 1

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

Move $6$ .

$- 8 y^{13} - y^{8} + 7 y^{11} + 6$

Move $- y^{8}$ .

$- 8 y^{13} + 7 y^{11} - y^{8} + 6$

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.

$- 8 y^{13} \to 13$

$7 y^{11} \to 11$

$- y^{8} \to 8$

$6 \to 0$

The largest exponent is the degree of the polynomial.

$13$

Step 3

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

$- 8 y^{13}$

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.

$- 8 y^{13}$

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

$- 8$

Step 5

List the results.

Polynomial Degree: $13$

Leading Term: $- 8 y^{13}$

Leading Coefficient: $- 8$