Find the Degree, Leading Term, and Leading Coefficient 7y^12-y^8+9+2y^5

$7 y^{12} - y^{8} + 9 + 2 y^{5}$

Step 1

Move $9$ .

$7 y^{12} - y^{8} + 2 y^{5} + 9$

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.

$7 y^{12} \to 12$

$- y^{8} \to 8$

$2 y^{5} \to 5$

$9 \to 0$

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.

$7 y^{12}$

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.

$7 y^{12}$

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

$7$

Step 5

List the results.

Polynomial Degree: $12$

Leading Term: $7 y^{12}$

Leading Coefficient: $7$