Find the Degree, Leading Term, and Leading Coefficient g(x)=2x^5+6x^4

$g (x) = 2 x^{5} + 6 x^{4}$

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.

$2 x^{5} \to 5$

$6 x^{4} \to 4$

The largest exponent is the degree of the polynomial.

$5$

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

$2 x^{5}$

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.

$2 x^{5}$

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

$2$

List the results.

Polynomial Degree: $5$

Leading Term: $2 x^{5}$

Leading Coefficient: $2$