Find the Degree, Leading Term, and Leading Coefficient -y^3+3y-3y^2+2

$- y^{3} + 3 y - 3 y^{2} + 2$

Step 1

Move $3 y$ .

$- y^{3} - 3 y^{2} + 3 y + 2$

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.

$- y^{3} \to 3$

$- 3 y^{2} \to 2$

$3 y \to 1$

$2 \to 0$

The largest exponent is the degree of the polynomial.

$3$

Step 3

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

$- y^{3}$

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.

$- y^{3}$

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

$- 1$

Step 5

List the results.

Polynomial Degree: $3$

Leading Term: $- y^{3}$

Leading Coefficient: $- 1$