Chapter 3 - Polynomial and Rational Functions - Section 3.1 Polynomial Functions and Models - 3.1 Assess Your Understanding - Page 209: 71

$y=-x(x+3)^2(x-3)^2$.

Step 1. Find zeros $x=0$ (multiplicity 1), $x=-3,3$ (multiplicity 2). Step 2. Write a general form $y=ax(x+3)^2(x-3)^2$. Step 3. Use point $(2,-50)$, $-50=a(2)(2+3)^2(2-3)^2$, we have $a=-1$ Step 4. Provide the answer $y=-x(x+3)^2(x-3)^2$.