Question

What are the zeros of the function below? Check all that apply.A.-5B.2C.-3D.3E.-2F.0

Answer 1

Given

`f(x)=(x(x-2))/((x+3)(x-5))`

Solution

Set f(x) = 0

`\begin{gathered} 0=(x(x-2))/((x+3)(x-5)) \\ Rewrite \\ (x(x-2))/((x+3)(x-5))=0 \\ cross\text{ multiply} \\ We\text{ have} \\ x(x-2)=0 \\ x=0 \\ x=2 \end{gathered}`

The final answer