Find the Degree, Leading Term, and Leading Coefficient 5x^4+x^3+3x^2-7

$5 x^{4} + x^{3} + 3 x^{2} - 7$

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.

$5 x^{4} \to 4$

$x^{3} \to 3$

$3 x^{2} \to 2$

$- 7 \to 0$

The largest exponent is the degree of the polynomial.

$4$

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

$5 x^{4}$

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.

$5 x^{4}$

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

$5$

List the results.

Polynomial Degree: $4$

Leading Term: $5 x^{4}$

Leading Coefficient: $5$