Find the Degree, Leading Term, and Leading Coefficient 3x^2-8x-12x^5-5x^3+2x^4-6

$3 x^{2} - 8 x - 12 x^{5} - 5 x^{3} + 2 x^{4} - 6$

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

Move $- 8 x$ .

$3 x^{2} - 12 x^{5} - 5 x^{3} + 2 x^{4} - 8 x - 6$

Move $3 x^{2}$ .

$- 12 x^{5} - 5 x^{3} + 2 x^{4} + 3 x^{2} - 8 x - 6$

Move $- 5 x^{3}$ .

$- 12 x^{5} + 2 x^{4} - 5 x^{3} + 3 x^{2} - 8 x - 6$

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.

$- 12 x^{5} \to 5$

$2 x^{4} \to 4$

$- 5 x^{3} \to 3$

$3 x^{2} \to 2$

$- 8 x \to 1$

$- 6 \to 0$

The largest exponent is the degree of the polynomial.

$5$

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

$- 12 x^{5}$

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.

$- 12 x^{5}$

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

$- 12$

List the results.

Polynomial Degree: $5$

Leading Term: $- 12 x^{5}$

Leading Coefficient: $- 12$