Find the ordered pair $(a,b)$ of real numbers for which
\[(ax + b)(x^5 + 1) - (5x + 1)\]is divisible by $x^2 + 1.$
Question:
Find the ordered pair $(a,b)$ of real numbers for which
\[(ax + b)(x^5 + 1) - (5x + 1)\]is divisible by $x^2 + 1.$
Answer:
Let's think step by step.

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(2,3)
Find the ordered pair $(a,b)$ of real numbers for which
\[(ax + b)(x^5 + 1) - (5x + 1)\]is divisible by $x^2 + 1.$
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