Chapter 3 - Polynomial and Rational Functions - Section 3.1 Polynomial Functions and Models - 3.1 Assess Your Understanding - Page 209: 72

$y=x^2(x+3)(x+1)(x-2)$.

Step 1. Find zeros $x=-3,-1,2$ (multiplicity 1), $x=0$ (multiplicity 2). Step 2. Write a general form $y=ax^2(x+3)(x+1)(x-2)$. Step 3. Use point $(-2,16)$, $16=a(-2)^2(-2+3)(-2+1)(-2-2)$, we have $a=1$ Step 4. Provide the answer $y=x^2(x+3)(x+1)(x-2)$.