Find the Degree, Leading Term, and Leading Coefficient 18z^5+4z^4-5z^3+12

$18 z^{5} + 4 z^{4} - 5 z^{3} + 12$

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.

$18 z^{5} \to 5$

$4 z^{4} \to 4$

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

$12 \to 0$

The largest exponent is the degree of the polynomial.

$5$

Step 2

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

$18 z^{5}$

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.

$18 z^{5}$

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

$18$

Step 4

List the results.

Polynomial Degree: $5$

Leading Term: $18 z^{5}$

Leading Coefficient: $18$