Find the Degree, Leading Term, and Leading Coefficient h(x)=-5x^4+7x^3-6x^2+9x+2

$h (x) = - 5 x^{4} + 7 x^{3} - 6 x^{2} + 9 x + 2$

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.

$- 5 x^{4} \to 4$

$7 x^{3} \to 3$

$- 6 x^{2} \to 2$

$9 x \to 1$

$2 \to 0$

The largest exponent is the degree of the polynomial.

$4$

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

$- 5 x^{4}$

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.

$- 5 x^{4}$

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

$- 5$

List the results.

Polynomial Degree: $4$

Leading Term: $- 5 x^{4}$

Leading Coefficient: $- 5$