Chapter 3 - Polynomial and Rational Functions - 3.3 Zeros of Polynomial Functions - 3.3 Exercises - Page 338: 112

$\{ \pm\frac{1}{2}, \pm 4 \}$

Step 1. Factor the polynomial $f(x)=(4x^2-1)(x^2-16)$ Step 2. For $4x^2-1=0$, we have $x=\pm\frac{1}{2}$ Step 3. For $x^2-16=0$, we have $x=\pm 4$ Step 4. The zeros are $\{ \pm\frac{1}{2}, \pm 4 \}$