Find the Degree, Leading Term, and Leading Coefficient f(x)=7x^2-6+10x^3-6x^6

$f (x) = 7 x^{2} - 6 + 10 x^{3} - 6 x^{6}$

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

Move $- 6$ .

$f (x) = 7 x^{2} + 10 x^{3} - 6 x^{6} - 6$

Move $7 x^{2}$ .

$f (x) = 10 x^{3} - 6 x^{6} + 7 x^{2} - 6$

Reorder $10 x^{3}$ and $- 6 x^{6}$ .

$f (x) = - 6 x^{6} + 10 x^{3} + 7 x^{2} - 6$

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.

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

$10 x^{3} \to 3$

$7 x^{2} \to 2$

$- 6 \to 0$

The largest exponent is the degree of the polynomial.

$6$

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

$- 6 x^{6}$

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.

$- 6 x^{6}$

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

$- 6$

List the results.

Polynomial Degree: $6$

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

Leading Coefficient: $- 6$