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

A function is shown below:Select ALL the values of x that are zeros of the function-example-1
User Fredrick Brennan
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1 Answer

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23 votes

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

User Oruchreis
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