Find the Degree, Leading Term, and Leading Coefficient f(x)=-4x^2-9x^5+7x^3+4x^4

$f (x) = - 4 x^{2} - 9 x^{5} + 7 x^{3} + 4 x^{4}$

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

Move $- 4 x^{2}$ .

$f (x) = - 9 x^{5} + 7 x^{3} + 4 x^{4} - 4 x^{2}$

Move $7 x^{3}$ .

$f (x) = - 9 x^{5} + 4 x^{4} + 7 x^{3} - 4 x^{2}$

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.

$- 9 x^{5} \to 5$

$4 x^{4} \to 4$

$7 x^{3} \to 3$

$- 4 x^{2} \to 2$

The largest exponent is the degree of the polynomial.

$5$

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

$- 9 x^{5}$

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.

$- 9 x^{5}$

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

$- 9$

List the results.

Polynomial Degree: $5$

Leading Term: $- 9 x^{5}$

Leading Coefficient: $- 9$