Answer
The degree is $3$.
The leading coefficient is $-\frac{5}{2}$.
The constant term is $-10$.
It is a cubic function.
Work Step by Step
The given function is $h=\frac{-5}{2}x^3+3x-10$.
This function is a polynomial function because the coefficients are real numbers and the exponents are whole numbers.
The highest power of the variable $x$ in the given polynomial function is $3$.
Therefore the degree of the polynomial function is $3$.
Since the degree is $3$, it is a cubic polynomial.
The leading coefficient is $-\frac{5}{2}$.
The constant term of a polynomial is the term of degree $0$, that is, it is the term in which the variable does not appear.
And the constant term is $-10$.