Fermat 2024 Part B - Question 13, CEMC UWaterloo

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Difficulty: 5

This problem is tagged with fermat, fermat24, highschool.

(Fermat 2024, Part B, Question 13, CEMC - UWaterloo)

For some integers $m$ and $n$, the expression $(x+m)(x+n)$ is equal to a quadratic expression in $x$ with a constant term of $-12$. Which of the following cannot be a value of $m$?
$(A)$ $1$
$(B)$ $2$
$(C)$ $3$
$(D)$ $4$
$(E)$ $5$

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