Answer
It a polynomial $G(x) = -3x^5 -18x^4 -36x^3 -24x^2$ of degree: 5
Leading term: $-3x^5$
Constant: $0$
Work Step by Step
We re-arrange the given function as follows:
$$ G(x)= -3x^2 (x+2)^3 \\ = -3x^2 (x^{2} +4x +4) (x+2)^3 \\ = -3x^5 -18x^4 -36x^3 -24x^2$$
A polynomial can be defined as a function containing only terms where $x$ is raised to a positive, integer power or constant. We can see from the given function that it is a polynomial. The degree is equal to the power of the term with the highest power, so the degree is 5. Also, the constant value is $0$.
The term with the highest degree is always known as the leading term; that is, $-3x^5$.
