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

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

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.

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

$3 x \to 1$

$6 \to 0$

The largest exponent is the degree of the polynomial.

$2$

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

$- 6 x^{2}$

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.

$- 6 x^{2}$

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

$- 6$

List the results.

Polynomial Degree: $2$

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

Leading Coefficient: $- 6$