Find the Degree, Leading Term, and Leading Coefficient -8+10a^4-3a^7

$- 8 + 10 a^{4} - 3 a^{7}$

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

Move $- 8$ .

$10 a^{4} - 3 a^{7} - 8$

Reorder $10 a^{4}$ and $- 3 a^{7}$ .

$- 3 a^{7} + 10 a^{4} - 8$

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.

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

$10 a^{4} \to 4$

$- 8 \to 0$

The largest exponent is the degree of the polynomial.

$7$

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

$- 3 a^{7}$

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.

$- 3 a^{7}$

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

$- 3$

List the results.

Polynomial Degree: $7$

Leading Term: $- 3 a^{7}$

Leading Coefficient: $- 3$