Find the Degree, Leading Term, and Leading Coefficient -17-4y+8y^2+3y^3

$- 17 - 4 y + 8 y^{2} + 3 y^{3}$

Step 1

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

Move $- 17$ .

$- 4 y + 8 y^{2} + 3 y^{3} - 17$

Move $- 4 y$ .

$8 y^{2} + 3 y^{3} - 4 y - 17$

Reorder $8 y^{2}$ and $3 y^{3}$ .

$3 y^{3} + 8 y^{2} - 4 y - 17$

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.

$3 y^{3} \to 3$

$8 y^{2} \to 2$

$- 4 y \to 1$

$- 17 \to 0$

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.

$3 y^{3}$

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.

$3 y^{3}$

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

$3$

Step 5

List the results.

Polynomial Degree: $3$

Leading Term: $3 y^{3}$

Leading Coefficient: $3$