Chapter 4 - Polynomial and Rational Functions - 4.1 Polynomial Functions and Models - 4.1 Assess Your Understanding - Page 184: 28

polynomial, $n=5$. $G(x)=-3x^5-18x^4-36x^3-24x^2$, $-3x^5$, $0$.

Step 1. Given $G(x)=-3x^2(x+2)^3$, we can determine it is a polynomial function. Step 2. We can identify the degree as $n=5$. Step 3. In standard form $G(x)=-3x^5-18x^4-36x^3-24x^2$, we can identify the leading term as $-3x^5$ and the constant term as $0$.