Find the Degree, Leading Term, and Leading Coefficient f(x)=-4+6x^5-2x^3+2x^4-10x^2

$f (x) = - 4 + 6 x^{5} - 2 x^{3} + 2 x^{4} - 10 x^{2}$

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

Move $- 4$ .

$f (x) = 6 x^{5} - 2 x^{3} + 2 x^{4} - 10 x^{2} - 4$

Move $- 2 x^{3}$ .

$f (x) = 6 x^{5} + 2 x^{4} - 2 x^{3} - 10 x^{2} - 4$

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.

$6 x^{5} \to 5$

$2 x^{4} \to 4$

$- 2 x^{3} \to 3$

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

$- 4 \to 0$

The largest exponent is the degree of the polynomial.

$5$

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

$6 x^{5}$

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.

$6 x^{5}$

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

$6$

List the results.

Polynomial Degree: $5$

Leading Term: $6 x^{5}$

Leading Coefficient: $6$