Find the Degree, Leading Term, and Leading Coefficient -6y^11-y^4+1+5y^10

$- 6 y^{11} - y^{4} + 1 + 5 y^{10}$

Step 1

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

Move $1$ .

$- 6 y^{11} - y^{4} + 5 y^{10} + 1$

Move $- y^{4}$ .

$- 6 y^{11} + 5 y^{10} - y^{4} + 1$

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.

$- 6 y^{11} \to 11$

$5 y^{10} \to 10$

$- y^{4} \to 4$

$1 \to 0$

The largest exponent is the degree of the polynomial.

$11$

Step 3

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

$- 6 y^{11}$

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.

$- 6 y^{11}$

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

$- 6$

Step 5

List the results.

Polynomial Degree: $11$

Leading Term: $- 6 y^{11}$

Leading Coefficient: $- 6$