Find the Degree, Leading Term, and Leading Coefficient f(x)=x^4+2x^3-13x^2-14x+24

$f (x) = x^{4} + 2 x^{3} - 13 x^{2} - 14 x + 24$

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.

$x^{4} \to 4$

$2 x^{3} \to 3$

$- 13 x^{2} \to 2$

$- 14 x \to 1$

$24 \to 0$

The largest exponent is the degree of the polynomial.

$4$

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

$x^{4}$

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.

$x^{4}$

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

$1$

List the results.

Polynomial Degree: $4$

Leading Term: $x^{4}$

Leading Coefficient: $1$