Find the Degree, Leading Term, and Leading Coefficient -2a^3b^2+5ab^2+7b^4+8

$- 2 a^{3} b^{2} + 5 a b^{2} + 7 b^{4} + 8$

Move $5 a b^{2}$ .

$- 2 a^{3} b^{2} + 7 b^{4} + 5 a b^{2} + 8$

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.

$- 2 a^{3} b^{2} \to 5$

$7 b^{4} \to 4$

$5 a b^{2} \to 3$

$8 \to 0$

The largest exponent is the degree of the polynomial.

$5$

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

$- 2 a^{3} b^{2}$

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.

$- 2 a^{3} b^{2}$

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

$- 2$

List the results.

Polynomial Degree: $5$

Leading Term: $- 2 a^{3} b^{2}$

Leading Coefficient: $- 2$