Find the Degree, Leading Term, and Leading Coefficient 3X^4+2x^3+4x-5

$3 X^{4} + 2 x^{3} + 4 x - 5$

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.

$3 X^{4} \to 4$

$2 x^{3} \to 3$

$4 x \to 1$

$- 5 \to 0$

The largest exponent is the degree of the polynomial.

$4$

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

$3 X^{4}$

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.

$3 X^{4}$

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

$3$

List the results.

Polynomial Degree: $4$

Leading Term: $3 X^{4}$

Leading Coefficient: $3$