Find the Degree, Leading Term, and Leading Coefficient 3s^3+3s

$3 s^{3} + 3 s$

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.

$3 s^{3} \to 3$

$3 s \to 1$

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.

$3 s^{3}$

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.

$3 s^{3}$

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

$3$

Step 4

List the results.

Polynomial Degree: $3$

Leading Term: $3 s^{3}$

Leading Coefficient: $3$