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

$2 x^{3} - 5 x^{2} - 2 x + 12$

Step 1

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.

$2 x^{3} \to 3$

$- 5 x^{2} \to 2$

$- 2 x \to 1$

$12 \to 0$

The largest exponent is the degree of the polynomial.

$3$

Step 2

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

$2 x^{3}$

Step 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.

$2 x^{3}$

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

$2$

Step 4

List the results.

Polynomial Degree: $3$

Leading Term: $2 x^{3}$

Leading Coefficient: $2$