Find the Degree, Leading Term, and Leading Coefficient f(x)=10x^3-8-5x-6x^2

$f (x) = 10 x^{3} - 8 - 5 x - 6 x^{2}$

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

Move $- 8$ .

$f (x) = 10 x^{3} - 5 x - 6 x^{2} - 8$

Move $- 5 x$ .

$f (x) = 10 x^{3} - 6 x^{2} - 5 x - 8$

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.

$10 x^{3} \to 3$

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

$- 5 x \to 1$

$- 8 \to 0$

The largest exponent is the degree of the polynomial.

$3$

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

$10 x^{3}$

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.

$10 x^{3}$

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

$10$

List the results.

Polynomial Degree: $3$

Leading Term: $10 x^{3}$

Leading Coefficient: $10$