Find all zeros of $f(x)=x^{3}+5 x^{2}+x+5$. Enter the zeros separated by commas.
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Final Answer: The zeros of the function \(f(x)=x^{3}+5 x^{2}+x+5\) are \(\boxed{-5, -I, I}\).
Step 1 ：The question is asking for the zeros of the function \(f(x)=x^{3}+5 x^{2}+x+5\). The zeros of a function are the x-values for which the function equals zero. In other words, we need to solve the equation \(x^{3}+5 x^{2}+x+5 = 0\) for x.
Step 2 ：The solutions to the equation are -5, -I, and I. These are the zeros of the function. The solutions -I and I are imaginary numbers, where I is the imaginary unit with the property I^2 = -1.
Step 3 ：Final Answer: The zeros of the function \(f(x)=x^{3}+5 x^{2}+x+5\) are \(\boxed{-5, -I, I}\).
