Find the Degree, Leading Term, and Leading Coefficient f(x)=-2x^6-9x^2+4-8x^3+6x^5

$f (x) = - 2 x^{6} - 9 x^{2} + 4 - 8 x^{3} + 6 x^{5}$

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

Move $4$ .

$f (x) = - 2 x^{6} - 9 x^{2} - 8 x^{3} + 6 x^{5} + 4$

Move $- 9 x^{2}$ .

$f (x) = - 2 x^{6} - 8 x^{3} + 6 x^{5} - 9 x^{2} + 4$

Move $- 8 x^{3}$ .

$f (x) = - 2 x^{6} + 6 x^{5} - 8 x^{3} - 9 x^{2} + 4$

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.

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

$6 x^{5} \to 5$

$- 8 x^{3} \to 3$

$- 9 x^{2} \to 2$

$4 \to 0$

The largest exponent is the degree of the polynomial.

$6$

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

$- 2 x^{6}$

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.

$- 2 x^{6}$

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

$- 2$

List the results.

Polynomial Degree: $6$

Leading Term: $- 2 x^{6}$

Leading Coefficient: $- 2$