Find the Degree, Leading Term, and Leading Coefficient x^3-3x^2+6x-18

$x^{3} - 3 x^{2} + 6 x - 18$

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.

$x^{3} \to 3$

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

$6 x \to 1$

$- 18 \to 0$

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.

$x^{3}$

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.

$x^{3}$

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

$1$

Step 4

List the results.

Polynomial Degree: $3$

Leading Term: $x^{3}$

Leading Coefficient: $1$