Find the Degree, Leading Term, and Leading Coefficient h(x)=-x^3+2x^2-15x^7

$h (x) = - x^{3} + 2 x^{2} - 15 x^{7}$

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

Move $2 x^{2}$ .

$h (x) = - x^{3} - 15 x^{7} + 2 x^{2}$

Reorder $- x^{3}$ and $- 15 x^{7}$ .

$h (x) = - 15 x^{7} - x^{3} + 2 x^{2}$

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.

$- 15 x^{7} \to 7$

$- x^{3} \to 3$

$2 x^{2} \to 2$

The largest exponent is the degree of the polynomial.

$7$

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

$- 15 x^{7}$

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.

$- 15 x^{7}$

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

$- 15$

List the results.

Polynomial Degree: $7$

Leading Term: $- 15 x^{7}$

Leading Coefficient: $- 15$