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Let us say that the polynomial is $x^2 + 5$ and the field is $\mathbb F_{25}$. Hereby $ax+b$ denotes any element of $\mathbb F_{25}$ with both $a$ and $b$ in the field $\mathbb F_5$.

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Hint: Try $x^2-a$ where $a$ is not a square mod $5$.

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