Find the Degree, Leading Term, and Leading Coefficient f(x)=-x^4-10x^2+8+9x

$f (x) = - x^{4} - 10 x^{2} + 8 + 9 x$

Move $8$ .

$f (x) = - x^{4} - 10 x^{2} + 9 x + 8$

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.

$- x^{4} \to 4$

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

$9 x \to 1$

$8 \to 0$

The largest exponent is the degree of the polynomial.

$4$

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

$- x^{4}$

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.

$- x^{4}$

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

$- 1$

List the results.

Polynomial Degree: $4$

Leading Term: $- x^{4}$

Leading Coefficient: $- 1$