Find the Degree, Leading Term, and Leading Coefficient f(x)=3+2x^2-4x^3

$f (x) = 3 + 2 x^{2} - 4 x^{3}$

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

Move $3$ .

$f (x) = 2 x^{2} - 4 x^{3} + 3$

Reorder $2 x^{2}$ and $- 4 x^{3}$ .

$f (x) = - 4 x^{3} + 2 x^{2} + 3$

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.

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

$2 x^{2} \to 2$

$3 \to 0$

The largest exponent is the degree of the polynomial.

$3$

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

$- 4 x^{3}$

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.

$- 4 x^{3}$

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

$- 4$

List the results.

Polynomial Degree: $3$

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

Leading Coefficient: $- 4$