Problem

Section 3.5
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Question 1
Find all zeros of the function $f(x)=4 x^{3}-52 x+48$. Enter the zeros separated by commas.
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Answer

Final Answer: The zeros of the function \(f(x)=4 x^{3}-52 x+48\) are \(\boxed{-4, 1, 3}\).

Steps

Step 1 :The question is asking to find the zeros of the function \(f(x)=4 x^{3}-52 x+48\). The zeros of a function are the x-values for which the function equals zero. To find the zeros of this function, we need to solve the equation \(4 x^{3}-52 x+48=0\).

Step 2 :The zeros of the function are -4, 1, and 3. These are the x-values for which the function equals zero.

Step 3 :Final Answer: The zeros of the function \(f(x)=4 x^{3}-52 x+48\) are \(\boxed{-4, 1, 3}\).

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