Find the Degree, Leading Term, and Leading Coefficient -8y^6-y^8+5+7y^9

$- 8 y^{6} - y^{8} + 5 + 7 y^{9}$

Step 1

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

Move $5$ .

$- 8 y^{6} - y^{8} + 7 y^{9} + 5$

Move $- 8 y^{6}$ .

$- y^{8} + 7 y^{9} - 8 y^{6} + 5$

Reorder $- y^{8}$ and $7 y^{9}$ .

$7 y^{9} - y^{8} - 8 y^{6} + 5$

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.

$7 y^{9} \to 9$

$- y^{8} \to 8$

$- 8 y^{6} \to 6$

$5 \to 0$

The largest exponent is the degree of the polynomial.

$9$

Step 3

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

$7 y^{9}$

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.

$7 y^{9}$

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

$7$

Step 5

List the results.

Polynomial Degree: $9$

Leading Term: $7 y^{9}$

Leading Coefficient: $7$