Find the Degree, Leading Term, and Leading Coefficient 4b^5+b^6-b^2-12

$4 b^{5} + b^{6} - b^{2} - 12$

Reorder $4 b^{5}$ and $b^{6}$ .

$b^{6} + 4 b^{5} - b^{2} - 12$

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.

$b^{6} \to 6$

$4 b^{5} \to 5$

$- b^{2} \to 2$

$- 12 \to 0$

The largest exponent is the degree of the polynomial.

$6$

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

$b^{6}$

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.

$b^{6}$

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

$1$

List the results.

Polynomial Degree: $6$

Leading Term: $b^{6}$

Leading Coefficient: $1$