If f(x) = x + 2x2 + 3x3 + 4x4 + 5x5, where x is a positive integer, f(x) will always be divisible by _________.
Question
Solution 1
The function f(x) = x + 2x^2 + 3x^3 + 4x^4 + 5x^5 can be rewritten as f(x) = x(1 + 2x + 3x^2 + 4x^3 + 5x^4).
From this, we can see that x is a common factor in the function.
Therefore, f(x) will always be divisible by x, regardless of the value of x (as long as x is a positive integer). Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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