Problem

2. If $f(x)=2 x^{3}-3 x^{2}-5$, then what is the remainder when $f(x)$ is divided by $x-4$ ?

Answer

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Answer

Final Answer: The remainder when \(f(x)\) is divided by \(x-4\) is \(\boxed{75}\)

Steps

Step 1 :The remainder when a polynomial f(x) is divided by (x-a) can be found by evaluating f(a). In this case, we need to find the remainder when f(x) is divided by (x-4), so we need to evaluate f(4).

Step 2 :remainder = 75

Step 3 :Final Answer: The remainder when \(f(x)\) is divided by \(x-4\) is \(\boxed{75}\)

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