Chapter 5 - Section 5.7 - Polynomial Equations and Their Applications - Exercise Set - Page 390: 41

$0,-4,4$

Given: $3x^4-48x^2=0$ or, $3x^2(x^2-16)=0$ Need to use factorization to solve the quadratic equation. This can be factorized as follows: $3x^2(x^2-4^2)=0$ or, $3x^2(x-4)(x+4)=0 $ Set each factor equal to zero, we get $x=0,-4,4$