Question

A function is shown below:Select ALL the values of x that are zeros of the function.

Answer 1

Given the function f(x) as follows:

$f(x)=3x^2(x-2)(x^2-25)$

We will find the zeros of the function as follows:

$\begin{gathered} f(x)=0 \\ 3x^2(x-2)(x^2-25)=0 \\ 3x^2=0\rightarrow x=0 \\ or \\ x-2=0\operatorname{\rightarrow}x=2 \\ or \\ x^2-25=0 \\ (x-5)(x+5)=0 \\ x-5=0\operatorname{\rightarrow}x=5 \\ x+5=0\operatorname{\rightarrow}x=-5 \end{gathered}$

So, the answer will be, the zeros of the function will be as follows:

x = 0

x = 2

x = -5

x = 5