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If f(x) = x + 2x2 + 3x3 + 4x4 + 5x5, where x is a positive integer, f(x) will always be divisible by _________.3

Question

If f(x) = x + 2x2 + 3x3 + 4x4 + 5x5, where x is a positive integer, f(x) will always be divisible by _________.3

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Solution

The function f(x) = x + 2x^2 + 3x^3 + 4x^4 + 5x^5 is a polynomial function.

To find out what f(x) is always divisible by, we need to look at the common factor in the function.

In this case, the common factor is x.

Therefore, f(x) will always be divisible by x.

However, the question seems to have a typo at the end ("______.3"). If you meant to ask "f(x) will always be divisible by 3", that would not be correct. The function f(x) is not always divisible by 3.

This problem has been solved

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