Find the Degree, Leading Term, and Leading Coefficient f(s)=6s^5-2s^4+s^2+3

$f (s) = 6 s^{5} - 2 s^{4} + s^{2} + 3$

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.

$6 s^{5} \to 5$

$- 2 s^{4} \to 4$

$s^{2} \to 2$

$3 \to 0$

The largest exponent is the degree of the polynomial.

$5$

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

$6 s^{5}$

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.

$6 s^{5}$

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

$6$

List the results.

Polynomial Degree: $5$

Leading Term: $6 s^{5}$

Leading Coefficient: $6$