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

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

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

Move $8 x^{2}$ .

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

Move $- 7 x^{3}$ .

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

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.

$10 x^{7} \to 7$

$- x^{4} \to 4$

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

$8 x^{2} \to 2$

The largest exponent is the degree of the polynomial.

$7$

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

$10 x^{7}$

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.

$10 x^{7}$

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

$10$

List the results.

Polynomial Degree: $7$

Leading Term: $10 x^{7}$

Leading Coefficient: $10$