Find the Degree, Leading Term, and Leading Coefficient f(x)=-5x-10+3x^4+4x^2

$f (x) = - 5 x - 10 + 3 x^{4} + 4 x^{2}$

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

Move $- 10$ .

$f (x) = - 5 x + 3 x^{4} + 4 x^{2} - 10$

Move $- 5 x$ .

$f (x) = 3 x^{4} + 4 x^{2} - 5 x - 10$

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.

$3 x^{4} \to 4$

$4 x^{2} \to 2$

$- 5 x \to 1$

$- 10 \to 0$

The largest exponent is the degree of the polynomial.

$4$

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

$3 x^{4}$

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.

$3 x^{4}$

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

$3$

List the results.

Polynomial Degree: $4$

Leading Term: $3 x^{4}$

Leading Coefficient: $3$