Find the Degree, Leading Term, and Leading Coefficient h(t)=-8t^2+5-3t^3

$h (t) = - 8 t^{2} + 5 - 3 t^{3}$

Simplify the polynomial, then reorder it left to right starting with the highest degree term.

Move $5$ .

$h (t) = - 8 t^{2} - 3 t^{3} + 5$

Reorder $- 8 t^{2}$ and $- 3 t^{3}$ .

$h (t) = - 3 t^{3} - 8 t^{2} + 5$

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.

$- 3 t^{3} \to 3$

$- 8 t^{2} \to 2$

$5 \to 0$

The largest exponent is the degree of the polynomial.

$3$

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

$- 3 t^{3}$

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.

$- 3 t^{3}$

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

$- 3$

List the results.

Polynomial Degree: $3$

Leading Term: $- 3 t^{3}$

Leading Coefficient: $- 3$