Question: I NEED AN ORIGINAL SOLUTION NOT COPIED FROM THE INTERNET! NEED JUSTIFICATIONS (THEOREMS) FOR ALL STEPS! Suppose that f ( x ) = x n

I NEED AN ORIGINAL SOLUTION NOT COPIED FROM THE INTERNET! NEED JUSTIFICATIONS (THEOREMS) FOR ALL STEPS!

Suppose that f(x)=xn+an1xn1++a0Z[x]. If r is rational and x-r divides f(x), prove that r is an integer.

I NEED AN ORIGINAL SOLUTION NOT COPIED FROM THE INTERNET! NEED JUSTIFICATIONS (THEOREMS) FOR ALL STEPS!

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