Find the Degree, Leading Term, and Leading Coefficient f(x)=-7x^3-10x^2+8x^4

$f (x) = - 7 x^{3} - 10 x^{2} + 8 x^{4}$

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

Move $- 10 x^{2}$ .

$f (x) = - 7 x^{3} + 8 x^{4} - 10 x^{2}$

Reorder $- 7 x^{3}$ and $8 x^{4}$ .

$f (x) = 8 x^{4} - 7 x^{3} - 10 x^{2}$

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.

$8 x^{4} \to 4$

$- 7 x^{3} \to 3$

$- 10 x^{2} \to 2$

The largest exponent is the degree of the polynomial.

$4$

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

$8 x^{4}$

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.

$8 x^{4}$

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

$8$

List the results.

Polynomial Degree: $4$

Leading Term: $8 x^{4}$

Leading Coefficient: $8$