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Given:

The function is

To find:

The remainder if f(x) is divided by (x+11).

Solution:

According to the remainder theorem, if a function f(x) is divided by (x-c), then the remainder is f(c).

On comparing (x+11) and (x-c), we get c=-11.

Using remainder theorem, if a function f(x) is divided by (x+11), then the remainder is f(-11).

Putting x=-11 in the given function.

Therefore, the remainder is 34286 when f(x) is divided by (x+11).

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step-by-step explanation: