Find the Degree, Leading Term, and Leading Coefficient 8d-2-4d^3

$8 d - 2 - 4 d^{3}$

Step 1

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

Move $- 2$ .

$8 d - 4 d^{3} - 2$

Reorder $8 d$ and $- 4 d^{3}$ .

$- 4 d^{3} + 8 d - 2$

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.

$- 4 d^{3} \to 3$

$8 d \to 1$

$- 2 \to 0$

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.

$- 4 d^{3}$

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.

$- 4 d^{3}$

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

$- 4$

Step 5

List the results.

Polynomial Degree: $3$

Leading Term: $- 4 d^{3}$

Leading Coefficient: $- 4$