Chapter 4 - Polynomial and Rational Functions - 4.1 Polynomial Functions and Models - 4.1 Assess Your Understanding - Page 186: 119

(a) $x=-3$ and $x=2$. (b) $x=-6$ and $x=-1$.

(a) Given $G(x)=(x+3)^2(x-2)$, we can identify, by letting $G(x)=0$, the x-intercept as $x=-3$ and $x=2$. (b) The graph of $y=G(x+3)$ can be obtained from $G(x)$ by shifting the curve 3 units to the left, thus the x-intercepts for $y=G(x+3)$ become $x=-6$ and $x=-1$.